462801872 has 20 divisors (see below), whose sum is σ = 965654340. Its totient is φ = 213600768.

The previous prime is 462801851. The next prime is 462801893. The reversal of 462801872 is 278108264.

It is an interprime number because it is at equal distance from previous prime (462801851) and next prime (462801893).

It can be written as a sum of positive squares in 2 ways, for example, as 174345616 + 288456256 = 13204^2 + 16984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112297 + ... + 1112712.

It is an arithmetic number, because the mean of its divisors is an integer number (48282717).

Almost surely, 2^462801872 is an apocalyptic number.

It is an amenable number.

462801872 is an abundant number, since it is smaller than the sum of its proper divisors (502852468).

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

462801872 is a wasteful number, since it uses less digits than its factorization.

462801872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225030 (or 2225024 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 462801872 is about 21512.8304042030. The cubic root of 462801872 is about 773.5084023647.

The spelling of 462801872 in words is "four hundred sixty-two million, eight hundred one thousand, eight hundred seventy-two".