456976 has 25 divisors (see below), whose sum is σ = 959171. Its totient is φ = 210912.

The previous prime is 456959. The next prime is 456979. The reversal of 456976 is 679654.

The square root of 456976 is 676.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 230400 = 476^2 + 480^2 .

It is a Duffinian number.

Its product of digits (45360) is a multiple of the sum of its prime divisors (15).

It is not an unprimeable number, because it can be changed into a prime (456979) by changing a digit.

456976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 35146 + ... + 35158.

456976 is a Friedman number, since it can be written as (6+5*4)^(7-9+6), using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹⁷⁶ is an apocalyptic number.

456976 is the 676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456976

456976 is an abundant number, since it is smaller than the sum of its proper divisors (502195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456976 is an frugal number, since it uses more digits than its factorization.

456976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 15 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The cubic root of 456976 is about 77.0248977786.

It can be divided in two parts, 45 and 6976, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 456976 in words is "four hundred fifty-six thousand, nine hundred seventy-six".