455664 has 40 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 137920.

The previous prime is 455659. The next prime is 455681. The reversal of 455664 is 466554.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

455664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 959.

2⁴⁵⁵⁶⁶⁴ is an apocalyptic number.

455664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

455664 is an abundant number, since it is smaller than the sum of its proper divisors (829968).

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

455664 is a wasteful number, since it uses less digits than its factorization.

455664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 455664 is about 675.0288882707. The cubic root of 455664 is about 76.9511130625.

The spelling of 455664 in words is "four hundred fifty-five thousand, six hundred sixty-four".