456421264 has 40 divisors (see below), whose sum is σ = 974507072. Its totient is φ = 205752960.

The previous prime is 456421237. The next prime is 456421279. The reversal of 456421264 is 462124654.

456421264 = T₂₈₅ + T₂₈₆ + ... + T₁₄₀₂.

It is a super-3 number, since 3×456421264³ (a number of 27 digits) contains 333 as substring.

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, 16572 + ... + 34459.

Almost surely, 2^456421264 is an apocalyptic number.

It is an amenable number.

456421264 is an abundant number, since it is smaller than the sum of its proper divisors (518085808).

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

456421264 is a wasteful number, since it uses less digits than its factorization.

456421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51095 (or 51089 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 456421264 is about 21364.0179741546. The cubic root of 456421264 is about 769.9371759617.

The spelling of 456421264 in words is "four hundred fifty-six million, four hundred twenty-one thousand, two hundred sixty-four".