364456 has 8 divisors (see below), whose sum is σ = 683370. Its totient is φ = 182224.

The previous prime is 364451. The next prime is 364459. The reversal of 364456 is 654463.

It can be written as a sum of positive squares in only one way, i.e., 320356 + 44100 = 566^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (364451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22771 + ... + 22786.

2³⁶⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

364456 is a deficient number, since it is larger than the sum of its proper divisors (318914).

364456 is a wasteful number, since it uses less digits than its factorization.

364456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45563 (or 45559 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 364456 is about 603.7019131989. The cubic root of 364456 is about 71.4301729165.

It can be divided in two parts, 364 and 456, that added together give a triangular number (820 = T₄₀).

The spelling of 364456 in words is "three hundred sixty-four thousand, four hundred fifty-six".