462231264 has 48 divisors (see below), whose sum is σ = 1323665280. Its totient is φ = 140069760.

The previous prime is 462231223. The next prime is 462231271. The reversal of 462231264 is 462132264.

It is a tau number, because it is divible by the number of its divisors (48).

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, 217804 + ... + 219915.

It is an arithmetic number, because the mean of its divisors is an integer number (27576360).

Almost surely, 2^462231264 is an apocalyptic number.

462231264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

462231264 is an abundant number, since it is smaller than the sum of its proper divisors (861434016).

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

462231264 is a wasteful number, since it uses less digits than its factorization.

462231264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437743 (or 437735 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 462231264 is about 21499.5642746545. The cubic root of 462231264 is about 773.1903745519.

The spelling of 462231264 in words is "four hundred sixty-two million, two hundred thirty-one thousand, two hundred sixty-four".