506400524 has 24 divisors (see below), whose sum is σ = 1017236640. Its totient is φ = 216078336.

The previous prime is 506400493. The next prime is 506400563. The reversal of 506400524 is 425004605.

It is a junction number, because it is equal to n+sod(n) for n = 506400493 and 506400502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33077 + ... + 45900.

It is an arithmetic number, because the mean of its divisors is an integer number (42384860).

Almost surely, 2^506400524 is an apocalyptic number.

It is an amenable number.

506400524 is an abundant number, since it is smaller than the sum of its proper divisors (510836116).

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

506400524 is a wasteful number, since it uses less digits than its factorization.

506400524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79217 (or 79215 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 506400524 is about 22503.3447291730. The cubic root of 506400524 is about 797.0729094883.

The spelling of 506400524 in words is "five hundred six million, four hundred thousand, five hundred twenty-four".