464016800 has 72 divisors (see below), whose sum is σ = 1219945356. Its totient is φ = 171325440.

The previous prime is 464016757. The next prime is 464016823. The reversal of 464016800 is 8610464.

It can be written as a sum of positive squares in 6 ways, for example, as 20830096 + 443186704 = 4564^2 + 21052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11909 + ... + 32708.

Almost surely, 2^464016800 is an apocalyptic number.

464016800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464016800 is an abundant number, since it is smaller than the sum of its proper divisors (755928556).

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

464016800 is a wasteful number, since it uses less digits than its factorization.

464016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44650 (or 44637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 464016800 is about 21541.0491852184. The cubic root of 464016800 is about 774.1846715081.

The spelling of 464016800 in words is "four hundred sixty-four million, sixteen thousand, eight hundred".