500400457776 has 80 divisors (see below), whose sum is σ = 1436455962720. Its totient is φ = 166786064640.

The previous prime is 500400457757. The next prime is 500400457787. The reversal of 500400457776 is 677754004005.

500400457776 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 0 + 0 + 4 + 577 + 76 = 666.

It is a super-4 number, since 4×500400457776⁴ (a number of 48 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5911366 + ... + 5995418.

It is an arithmetic number, because the mean of its divisors is an integer number (17955699534).

Almost surely, 2^500400457776 is an apocalyptic number.

It is an amenable number.

500400457776 is an abundant number, since it is smaller than the sum of its proper divisors (936055504944).

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

500400457776 is a wasteful number, since it uses less digits than its factorization.

500400457776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97851 (or 97839 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 500400457776 in words is "five hundred billion, four hundred million, four hundred fifty-seven thousand, seven hundred seventy-six".