490435520256 has 576 divisors, whose sum is σ = 1643984294400. Its totient is φ = 142855372800.

The previous prime is 490435520231. The next prime is 490435520261. The reversal of 490435520256 is 652025534094.

490435520256 is a `hidden beast` number, since 4 + 9 + 0 + 43 + 552 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765109696 + ... + 765110336.

It is an arithmetic number, because the mean of its divisors is an integer number (2854139400).

Almost surely, 2^490435520256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490435520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821992147200).

490435520256 is an abundant number, since it is smaller than the sum of its proper divisors (1153548774144).

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

490435520256 is a wasteful number, since it uses less digits than its factorization.

490435520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 490435520256 in words is "four hundred ninety billion, four hundred thirty-five million, five hundred twenty thousand, two hundred fifty-six".