456977 has 4 divisors (see below), whose sum is σ = 483876. Its totient is φ = 430080.

The previous prime is 456959. The next prime is 456979. The reversal of 456977 is 779654.

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

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 101761 = 596^2 + 319^2 .

It is a cyclic number.

It is not a de Polignac number, because 456977 - 2¹⁰ = 455953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456977.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456977.

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 3 ways as a sum of consecutive naturals, for example, 13424 + ... + 13457.

It is an arithmetic number, because the mean of its divisors is an integer number (120969).

456977 is a Friedman number, since it can be written as (7*5-9)^4+7-6, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

456977 is a deficient number, since it is larger than the sum of its proper divisors (26899).

456977 is a wasteful number, since it uses less digits than its factorization.

456977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26898.

The product of its digits is 52920, while the sum is 38.

The square root of 456977 is about 676.0007396446. Note that the first 3 decimals coincide. The cubic root of 456977 is about 77.0249539630.

The spelling of 456977 in words is "four hundred fifty-six thousand, nine hundred seventy-seven".