456164 has 6 divisors (see below), whose sum is σ = 798294. Its totient is φ = 228080.

The previous prime is 456151. The next prime is 456167. The reversal of 456164 is 461654.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 153664 = 550^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (456167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57017 + ... + 57024.

It is an arithmetic number, because the mean of its divisors is an integer number (133049).

2⁴⁵⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

456164 is a deficient number, since it is larger than the sum of its proper divisors (342130).

456164 is a wasteful number, since it uses less digits than its factorization.

456164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114045 (or 114043 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 456164 is about 675.3991412491. The cubic root of 456164 is about 76.9792489199.

The spelling of 456164 in words is "four hundred fifty-six thousand, one hundred sixty-four".