462648432 has 40 divisors (see below), whose sum is σ = 1197244800. Its totient is φ = 153949120.

The previous prime is 462648383. The next prime is 462648443. The reversal of 462648432 is 234846264.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 20707 + ... + 36797.

It is an arithmetic number, because the mean of its divisors is an integer number (29931120).

Almost surely, 2^462648432 is an apocalyptic number.

It is an amenable number.

462648432 is an abundant number, since it is smaller than the sum of its proper divisors (734596368).

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

462648432 is a wasteful number, since it uses less digits than its factorization.

462648432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16701 (or 16695 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 462648432 is about 21509.2638646700. The cubic root of 462648432 is about 773.4229084377.

The spelling of 462648432 in words is "four hundred sixty-two million, six hundred forty-eight thousand, four hundred thirty-two".