456709631 has 16 divisors (see below), whose sum is σ = 552245760. Its totient is φ = 368958240.

The previous prime is 456709613. The next prime is 456709637. The reversal of 456709631 is 136907654.

It is not a de Polignac number, because 456709631 - 2¹⁰ = 456708607 is a prime.

It is a super-2 number, since 2×456709631² = 417167374096312322, 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 (456709637) 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, 17486 + ... + 34916.

It is an arithmetic number, because the mean of its divisors is an integer number (34515360).

Almost surely, 2^456709631 is an apocalyptic number.

456709631 is a deficient number, since it is larger than the sum of its proper divisors (95536129).

456709631 is a wasteful number, since it uses less digits than its factorization.

456709631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17654.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 456709631 is about 21370.7658028438. The cubic root of 456709631 is about 770.0992906199.

The spelling of 456709631 in words is "four hundred fifty-six million, seven hundred nine thousand, six hundred thirty-one".