456457881 has 16 divisors (see below), whose sum is σ = 698883840. Its totient is φ = 262080720.

The previous prime is 456457873. The next prime is 456457891. The reversal of 456457881 is 188754654.

It is not a de Polignac number, because 456457881 - 2³ = 456457873 is a prime.

It is a super-2 number, since 2×456457881² = 416707594254020322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456457881.

It is not an unprimeable number, because it can be changed into a prime (456457811) 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, 363375 + ... + 364628.

It is an arithmetic number, because the mean of its divisors is an integer number (43680240).

Almost surely, 2^456457881 is an apocalyptic number.

It is an amenable number.

456457881 is a deficient number, since it is larger than the sum of its proper divisors (242425959).

456457881 is a wasteful number, since it uses less digits than its factorization.

456457881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728036.

The product of its digits is 1075200, while the sum is 48.

The square root of 456457881 is about 21364.8749352764. The cubic root of 456457881 is about 769.9577651541.

The spelling of 456457881 in words is "four hundred fifty-six million, four hundred fifty-seven thousand, eight hundred eighty-one".