455664720 has 120 divisors (see below), whose sum is σ = 1643225184. Its totient is φ = 104149248.

The previous prime is 455664709. The next prime is 455664757. The reversal of 455664720 is 27466554.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7614 + ... + 31133.

Almost surely, 2^455664720 is an apocalyptic number.

455664720 is a gapful number since it is divisible by the number (40) 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 455664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821612592).

455664720 is an abundant number, since it is smaller than the sum of its proper divisors (1187560464).

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

455664720 is a wasteful number, since it uses less digits than its factorization.

455664720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38777 (or 38764 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 455664720 is about 21346.3045982203. The cubic root of 455664720 is about 769.5115359291.

The spelling of 455664720 in words is "four hundred fifty-five million, six hundred sixty-four thousand, seven hundred twenty".