456384 has 28 divisors (see below), whose sum is σ = 1208024. Its totient is φ = 152064.

The previous prime is 456377. The next prime is 456403. The reversal of 456384 is 483654.

It is a d-powerful number, because it can be written as 4² + 5⁷ + 3 + 6⁷ + 8⁵ + 4⁸ .

It is an unprimeable number.

456384 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 3 ways as a sum of consecutive naturals, for example, 997 + ... + 1380.

2⁴⁵⁶³⁸⁴ is an apocalyptic number.

It is an amenable number.

456384 is an abundant number, since it is smaller than the sum of its proper divisors (751640).

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

456384 is a wasteful number, since it uses less digits than its factorization.

456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2382 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 456384 is about 675.5619882735. The cubic root of 456384 is about 76.9916221840.

The spelling of 456384 in words is "four hundred fifty-six thousand, three hundred eighty-four".