462899232 has 96 divisors (see below), whose sum is σ = 1372412160. Its totient is φ = 151752960.

The previous prime is 462899231. The next prime is 462899233. The reversal of 462899232 is 232998264.

It is an interprime number because it is at equal distance from previous prime (462899231) and next prime (462899233).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (462899231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48313 + ... + 57095.

It is an arithmetic number, because the mean of its divisors is an integer number (14295960).

Almost surely, 2^462899232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462899232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686206080).

462899232 is an abundant number, since it is smaller than the sum of its proper divisors (909512928).

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

462899232 is a wasteful number, since it uses less digits than its factorization.

462899232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8863 (or 8849 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 462899232 is about 21515.0931208768. The cubic root of 462899232 is about 773.5626397554.

The spelling of 462899232 in words is "four hundred sixty-two million, eight hundred ninety-nine thousand, two hundred thirty-two".