456064 has 32 divisors (see below), whose sum is σ = 1040400. Its totient is φ = 195072.

The previous prime is 456061. The next prime is 456091. The reversal of 456064 is 460654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642 + ... + 1150.

2⁴⁵⁶⁰⁶⁴ 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 456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520200).

456064 is an abundant number, since it is smaller than the sum of its proper divisors (584336).

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

456064 is an equidigital number, since it uses as much as digits as its factorization.

456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 456064 is about 675.3251068930. The cubic root of 456064 is about 76.9736233938.

It can be divided in two parts, 4560 and 64, that added together give a square (4624 = 68²).

The spelling of 456064 in words is "four hundred fifty-six thousand, sixty-four".