457164 has 60 divisors (see below), whose sum is σ = 1280664. Its totient is φ = 141696.

The previous prime is 457153. The next prime is 457183. The reversal of 457164 is 461754.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime divisors (105).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5467 + ... + 5549.

2⁴⁵⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640332).

457164 is an abundant number, since it is smaller than the sum of its proper divisors (823500).

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

457164 is a wasteful number, since it uses less digits than its factorization.

457164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 457164 is about 676.1390389557. The cubic root of 457164 is about 77.0354590155.

The spelling of 457164 in words is "four hundred fifty-seven thousand, one hundred sixty-four".