464834440 has 64 divisors (see below), whose sum is σ = 1197244800. Its totient is φ = 159111168.

The previous prime is 464834437. The next prime is 464834471. The reversal of 464834440 is 44438464.

It is a super-2 number, since 2×464834440² = 432142113220227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464834440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259227 + ... + 261013.

It is an arithmetic number, because the mean of its divisors is an integer number (18706950).

Almost surely, 2^464834440 is an apocalyptic number.

464834440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464834440 is an abundant number, since it is smaller than the sum of its proper divisors (732410360).

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

464834440 is a wasteful number, since it uses less digits than its factorization.

464834440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The square root of 464834440 is about 21560.0194805107. The cubic root of 464834440 is about 774.6391327220.

The spelling of 464834440 in words is "four hundred sixty-four million, eight hundred thirty-four thousand, four hundred forty".