462874400 has 72 divisors (see below), whose sum is σ = 1143770544. Its totient is φ = 182892800.

The previous prime is 462874393. The next prime is 462874417. The reversal of 462874400 is 4478264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62915 + ... + 69885.

It is an arithmetic number, because the mean of its divisors is an integer number (15885702).

Almost surely, 2^462874400 is an apocalyptic number.

462874400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571885272).

462874400 is an abundant number, since it is smaller than the sum of its proper divisors (680896144).

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

462874400 is a wasteful number, since it uses less digits than its factorization.

462874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 462874400 is about 21514.5160298808. The cubic root of 462874400 is about 773.5488070465.

The spelling of 462874400 in words is "four hundred sixty-two million, eight hundred seventy-four thousand, four hundred".