456975 has 24 divisors (see below), whose sum is σ = 840720. Its totient is φ = 243360.

The previous prime is 456959. The next prime is 456979. The reversal of 456975 is 579654.

456975 = 43³ + 44³ + ... + 47³.

It is a Cunningham number, because it is equal to 26⁴-1.

It is not a de Polignac number, because 456975 - 2⁴ = 456959 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456979) 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, 337 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (35030).

456975 is a Friedman number, since it can be written as (7*5-9)^4-6+5, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹⁷⁵ is an apocalyptic number.

456975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456975 is a deficient number, since it is larger than the sum of its proper divisors (383745).

456975 is a wasteful number, since it uses less digits than its factorization.

456975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 456975 is about 675.9992603546. Note that the first 3 decimals coincide. The cubic root of 456975 is about 77.0248415941.

It can be divided in two parts, 456 and 975, that added together give a triangular number (1431 = T₅₃).

The spelling of 456975 in words is "four hundred fifty-six thousand, nine hundred seventy-five".