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485929440 = 25325536367
BaseRepresentation
bin11100111101101…
…011000111100000
31020212100202212200
4130331223013200
51443344220230
6120115053200
715020221623
oct3475530740
91225322780
10485929440
1122a326a87
121168a1200
1379899819
1448771dba
152c9d9160
hex1cf6b1e0

485929440 has 144 divisors (see below), whose sum is σ = 1689787008. Its totient is φ = 127116288.

The previous prime is 485929439. The next prime is 485929447. The reversal of 485929440 is 44929584.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4859294402 = 472254841317427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485929447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73137 + ... + 79503.

It is an arithmetic number, because the mean of its divisors is an integer number (11734632).

Almost surely, 2485929440 is an apocalyptic number.

485929440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844893504).

485929440 is an abundant number, since it is smaller than the sum of its proper divisors (1203857568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

485929440 is a wasteful number, since it uses less digits than its factorization.

485929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 485929440 is about 22043.8072936596. The cubic root of 485929440 is about 786.1843671387.

The spelling of 485929440 in words is "four hundred eighty-five million, nine hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 6367 7632 8480 9540 12720 12734 15264 19080 19101 25440 25468 31835 38160 38202 50936 57303 63670 76320 76404 95505 101872 114606 127340 152808 191010 203744 229212 254680 286515 305616 337451 382020 458424 509360 573030 611232 674902 764040 916848 1012353 1018720 1146060 1349804 1528080 1687255 1833696 2024706 2292120 2699608 3037059 3056160 3374510 4049412 4584240 5061765 5399216 6074118 6749020 8098824 9168480 10123530 10798432 12148236 13498040 15185295 16197648 20247060 24296472 26996080 30370590 32395296 40494120 48592944 53992160 60741180 80988240 97185888 121482360 161976480 242964720 485929440