456704431 has 16 divisors (see below), whose sum is σ = 485816320. Its totient is φ = 428574240.

The previous prime is 456704401. The next prime is 456704459. The reversal of 456704431 is 134407654.

It is a cyclic number.

It is not a de Polignac number, because 456704431 - 2¹¹ = 456702383 is a prime.

It is a super-2 number, since 2×456704431² = 417157874590067522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456704401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503080 + ... + 503986.

It is an arithmetic number, because the mean of its divisors is an integer number (30363520).

Almost surely, 2^456704431 is an apocalyptic number.

456704431 is a deficient number, since it is larger than the sum of its proper divisors (29111889).

456704431 is a wasteful number, since it uses less digits than its factorization.

456704431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 456704431 is about 21370.6441409706. The cubic root of 456704431 is about 770.0963678792.

The spelling of 456704431 in words is "four hundred fifty-six million, seven hundred four thousand, four hundred thirty-one".