456856311 has 8 divisors (see below), whose sum is σ = 641201920. Its totient is φ = 288540792.

The previous prime is 456856303. The next prime is 456856321. The reversal of 456856311 is 113658654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456856311 - 2³ = 456856303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456856311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456856321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4007455 + ... + 4007568.

It is an arithmetic number, because the mean of its divisors is an integer number (80150240).

Almost surely, 2^456856311 is an apocalyptic number.

456856311 is a deficient number, since it is larger than the sum of its proper divisors (184345609).

456856311 is a wasteful number, since it uses less digits than its factorization.

456856311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015045.

The product of its digits is 86400, while the sum is 39.

The square root of 456856311 is about 21374.1973182620. The cubic root of 456856311 is about 770.1817252535.

The spelling of 456856311 in words is "four hundred fifty-six million, eight hundred fifty-six thousand, three hundred eleven".