456958957 has 24 divisors (see below), whose sum is σ = 584672256. Its totient is φ = 353834208.

The previous prime is 456958939. The next prime is 456958973. The reversal of 456958957 is 759859654.

It is not a de Polignac number, because 456958957 - 2²³ = 448570349 is a prime.

It is a super-2 number, since 2×456958957² = 417622976765055698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456958057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22308 + ... + 37570.

It is an arithmetic number, because the mean of its divisors is an integer number (24361344).

Almost surely, 2^456958957 is an apocalyptic number.

456958957 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

456958957 is a deficient number, since it is larger than the sum of its proper divisors (127713299).

456958957 is a wasteful number, since it uses less digits than its factorization.

456958957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15330 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 58.

The square root of 456958957 is about 21376.5983495972. The cubic root of 456958957 is about 770.2394021433.

The spelling of 456958957 in words is "four hundred fifty-six million, nine hundred fifty-eight thousand, nine hundred fifty-seven".