458164 has 12 divisors (see below), whose sum is σ = 916384. Its totient is φ = 196344.

The previous prime is 458123. The next prime is 458173. The reversal of 458164 is 461854.

458164 is an admirable number.

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 a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 16363 = 458164 / (4 + 5 + 8 + 1 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8154 + ... + 8209.

2⁴⁵⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

458164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

458164 is a wasteful number, since it uses less digits than its factorization.

458164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16374 (or 16372 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 458164 is about 676.8781278783. The cubic root of 458164 is about 77.0915872015.

The spelling of 458164 in words is "four hundred fifty-eight thousand, one hundred sixty-four".