456856961 has 4 divisors (see below), whose sum is σ = 498389424. Its totient is φ = 415324500.

The previous prime is 456856927. The next prime is 456857003. The reversal of 456856961 is 169658654.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 456856961 - 2²² = 452662657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456856901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20766215 + ... + 20766236.

It is an arithmetic number, because the mean of its divisors is an integer number (124597356).

Almost surely, 2^456856961 is an apocalyptic number.

It is an amenable number.

456856961 is a deficient number, since it is larger than the sum of its proper divisors (41532463).

456856961 is a wasteful number, since it uses less digits than its factorization.

456856961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41532462.

The product of its digits is 1555200, while the sum is 50.

The square root of 456856961 is about 21374.2125235060. The cubic root of 456856961 is about 770.1820905163.

The spelling of 456856961 in words is "four hundred fifty-six million, eight hundred fifty-six thousand, nine hundred sixty-one".