456938457 has 8 divisors (see below), whose sum is σ = 609499776. Its totient is φ = 304501392.

The previous prime is 456938441. The next prime is 456938473. The reversal of 456938457 is 754839654.

It is an interprime number because it is at equal distance from previous prime (456938441) and next prime (456938473).

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

It is not a de Polignac number, because 456938457 - 2⁴ = 456938441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456933457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22113 + ... + 37454.

It is an arithmetic number, because the mean of its divisors is an integer number (76187472).

Almost surely, 2^456938457 is an apocalyptic number.

It is an amenable number.

456938457 is a deficient number, since it is larger than the sum of its proper divisors (152561319).

456938457 is a wasteful number, since it uses less digits than its factorization.

456938457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62127.

The product of its digits is 3628800, while the sum is 51.

The square root of 456938457 is about 21376.1188479106. The cubic root of 456938457 is about 770.2278838632.

The spelling of 456938457 in words is "four hundred fifty-six million, nine hundred thirty-eight thousand, four hundred fifty-seven".