456264445 has 64 divisors (see below), whose sum is σ = 725953536. Its totient is φ = 267079680.

The previous prime is 456264437. The next prime is 456264493. The reversal of 456264445 is 544462654.

It is a happy number.

It is not a de Polignac number, because 456264445 - 2³ = 456264437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456264398 and 456264407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471352 + ... + 472318.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^456264445 is an apocalyptic number.

It is an amenable number.

456264445 is a deficient number, since it is larger than the sum of its proper divisors (269689091).

456264445 is a wasteful number, since it uses less digits than its factorization.

456264445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070.

The product of its digits is 460800, while the sum is 40.

The square root of 456264445 is about 21360.3474924918. The cubic root of 456264445 is about 769.8489865203.

The spelling of 456264445 in words is "four hundred fifty-six million, two hundred sixty-four thousand, four hundred forty-five".