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490205480 = 23531537459
BaseRepresentation
bin11101001101111…
…111000100101000
31021011102000111112
4131031333010220
52000443033410
6120350445452
715101451332
oct3515770450
91234360445
10490205480
112317876a6
12118203888
137a735c1b
1449166452
152d081105
hex1d37f128

490205480 has 64 divisors (see below), whose sum is σ = 1160179200. Its totient is φ = 186151680.

The previous prime is 490205467. The next prime is 490205483. The reversal of 490205480 is 84502094.

It is not an unprimeable number, because it can be changed into a prime (490205483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61991 + ... + 69449.

It is an arithmetic number, because the mean of its divisors is an integer number (18127800).

Almost surely, 2490205480 is an apocalyptic number.

490205480 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 490205480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580089600).

490205480 is an abundant number, since it is smaller than the sum of its proper divisors (669973720).

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

490205480 is a wasteful number, since it uses less digits than its factorization.

490205480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 490205480 is about 22140.5844547970. The cubic root of 490205480 is about 788.4837015836.

The spelling of 490205480 in words is "four hundred ninety million, two hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 53 62 106 124 155 212 248 265 310 424 530 620 1060 1240 1643 2120 3286 6572 7459 8215 13144 14918 16430 29836 32860 37295 59672 65720 74590 149180 231229 298360 395327 462458 790654 924916 1156145 1581308 1849832 1976635 2312290 3162616 3953270 4624580 7906540 9249160 12255137 15813080 24510274 49020548 61275685 98041096 122551370 245102740 490205480