490715997408 has 216 divisors, whose sum is σ = 1748176394328. Its totient is φ = 129419555328.

The previous prime is 490715997397. The next prime is 490715997433. The reversal of 490715997408 is 804799517094.

490715997408 is a `hidden beast` number, since 4 + 90 + 7 + 1 + 59 + 97 + 408 = 666.

It is a super-2 number, since 2×490715997408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1153966 + ... + 1520877.

It is an arithmetic number, because the mean of its divisors is an integer number (8093409233).

Almost surely, 2^490715997408 is an apocalyptic number.

490715997408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490715997408 is an abundant number, since it is smaller than the sum of its proper divisors (1257460396920).

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

490715997408 is a wasteful number, since it uses less digits than its factorization.

490715997408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674886 (or 2674868 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 490715997408 in words is "four hundred ninety billion, seven hundred fifteen million, nine hundred ninety-seven thousand, four hundred eight".