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485430480 = 24325838123
BaseRepresentation
bin11100111011110…
…001010011010000
31020211102102102200
4130323301103100
51443232233410
6120100243200
715013043133
oct3473612320
91224372380
10485430480
1122a016117
121166a0500
1379753692
144868221a
152c93b3c0
hex1cef14d0

485430480 has 120 divisors (see below), whose sum is σ = 1650081888. Its totient is φ = 127872768.

The previous prime is 485430469. The next prime is 485430493. The reversal of 485430480 is 84034584.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55699 + ... + 63821.

Almost surely, 2485430480 is an apocalyptic number.

485430480 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 485430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825040944).

485430480 is an abundant number, since it is smaller than the sum of its proper divisors (1164651408).

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

485430480 is a wasteful number, since it uses less digits than its factorization.

485430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 485430480 is about 22032.4869227239. The cubic root of 485430480 is about 785.9151861556.

The spelling of 485430480 in words is "four hundred eighty-five million, four hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2490 2988 3320 3735 3984 4980 5976 6640 7470 8123 9960 11952 14940 16246 19920 24369 29880 32492 40615 48738 59760 64984 73107 81230 97476 121845 129968 146214 162460 194952 243690 292428 324920 365535 389904 487380 584856 649840 674209 731070 974760 1169712 1348418 1462140 1949520 2022627 2696836 2924280 3371045 4045254 5393672 5848560 6067881 6742090 8090508 10113135 10787344 12135762 13484180 16181016 20226270 24271524 26968360 30339405 32362032 40452540 48543048 53936720 60678810 80905080 97086096 121357620 161810160 242715240 485430480