490401568800 has 864 divisors, whose sum is σ = 2062212384960. Its totient is φ = 108087091200.

The previous prime is 490401568799. The next prime is 490401568879. The reversal of 490401568800 is 8865104094.

490401568800 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 0 + 1 + 568 + 80 + 0 = 666.

It is a super-2 number, since 2×490401568800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68979646 + ... + 68986754.

It is an arithmetic number, because the mean of its divisors is an integer number (2386819890).

Almost surely, 2^490401568800 is an apocalyptic number.

490401568800 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 490401568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031106192480).

490401568800 is an abundant number, since it is smaller than the sum of its proper divisors (1571810816160).

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

490401568800 is a wasteful number, since it uses less digits than its factorization.

490401568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 490401568800 in words is "four hundred ninety billion, four hundred one million, five hundred sixty-eight thousand, eight hundred".