456399 has 24 divisors (see below), whose sum is σ = 739440. Its totient is φ = 269568.

The previous prime is 456377. The next prime is 456403. The reversal of 456399 is 993654.

456399 is a `hidden beast` number, since 4 + 563 + 99 = 666.

It is not a de Polignac number, because 456399 - 2⁵ = 456367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456329) 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, 2829 + ... + 2985.

It is an arithmetic number, because the mean of its divisors is an integer number (30810).

2⁴⁵⁶³⁹⁹ is an apocalyptic number.

456399 is a deficient number, since it is larger than the sum of its proper divisors (283041).

456399 is a wasteful number, since it uses less digits than its factorization.

456399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 456399 is about 675.5730900502. The cubic root of 456399 is about 76.9924656709.

The spelling of 456399 in words is "four hundred fifty-six thousand, three hundred ninety-nine".