507230400 has 84 divisors (see below), whose sum is σ = 1664154152. Its totient is φ = 135260160.

The previous prime is 507230389. The next prime is 507230443. The reversal of 507230400 is 4032705.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48037 + ... + 57636.

Almost surely, 2^507230400 is an apocalyptic number.

507230400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

507230400 is an abundant number, since it is smaller than the sum of its proper divisors (1156923752).

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

507230400 is a wasteful number, since it uses less digits than its factorization.

507230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105698 (or 105683 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 507230400 is about 22521.7761288936. The cubic root of 507230400 is about 797.5080793068.

The spelling of 507230400 in words is "five hundred seven million, two hundred thirty thousand, four hundred".