456971793 has 32 divisors (see below), whose sum is σ = 674150400. Its totient is φ = 274228416.

The previous prime is 456971791. The next prime is 456971839. The reversal of 456971793 is 397179654.

It is not a de Polignac number, because 456971793 - 2¹ = 456971791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456971791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88168 + ... + 93206.

It is an arithmetic number, because the mean of its divisors is an integer number (21067200).

Almost surely, 2^456971793 is an apocalyptic number.

456971793 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

456971793 is a deficient number, since it is larger than the sum of its proper divisors (217178607).

456971793 is a wasteful number, since it uses less digits than its factorization.

456971793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141.

The product of its digits is 1428840, while the sum is 51.

The square root of 456971793 is about 21376.8985823482. The cubic root of 456971793 is about 770.2466140969.

The spelling of 456971793 in words is "four hundred fifty-six million, nine hundred seventy-one thousand, seven hundred ninety-three".