462505825 has 24 divisors (see below), whose sum is σ = 618730488. Its totient is φ = 341652480.

The previous prime is 462505811. The next prime is 462505831. The reversal of 462505825 is 528505264.

It can be written as a sum of positive squares in 12 ways, for example, as 14379264 + 448126561 = 3792^2 + 21169^2 .

It is not a de Polignac number, because 462505825 - 2⁵ = 462505793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12259 + ... + 32791.

It is an arithmetic number, because the mean of its divisors is an integer number (25780437).

Almost surely, 2^462505825 is an apocalyptic number.

It is an amenable number.

462505825 is a deficient number, since it is larger than the sum of its proper divisors (156224663).

462505825 is a wasteful number, since it uses less digits than its factorization.

462505825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20613 (or 20608 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 462505825 is about 21505.9485956793. The cubic root of 462505825 is about 773.3434335078.

The spelling of 462505825 in words is "four hundred sixty-two million, five hundred five thousand, eight hundred twenty-five".