456894097 has 12 divisors (see below), whose sum is σ = 509287536. Its totient is φ = 406499240.

The previous prime is 456894077. The next prime is 456894181. The reversal of 456894097 is 790498654.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-456894097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456894077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14898 + ... + 33700.

It is an arithmetic number, because the mean of its divisors is an integer number (42440628).

Almost surely, 2^456894097 is an apocalyptic number.

456894097 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

456894097 is a deficient number, since it is larger than the sum of its proper divisors (52393439).

456894097 is a wasteful number, since it uses less digits than its factorization.

456894097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18908 (or 18861 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 456894097 is about 21375.0812162200. The cubic root of 456894097 is about 770.2029582493.

The spelling of 456894097 in words is "four hundred fifty-six million, eight hundred ninety-four thousand, ninety-seven".