455328960 has 112 divisors (see below), whose sum is σ = 1470355200. Its totient is φ = 119348224.

The previous prime is 455328947. The next prime is 455328967. The reversal of 455328960 is 69823554.

It is not an unprimeable number, because it can be changed into a prime (455328967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52621 + ... + 60659.

Almost surely, 2^455328960 is an apocalyptic number.

455328960 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 455328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735177600).

455328960 is an abundant number, since it is smaller than the sum of its proper divisors (1015026240).

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

455328960 is a wasteful number, since it uses less digits than its factorization.

455328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 455328960 is about 21338.4385558082. The cubic root of 455328960 is about 769.3224826853.

The spelling of 455328960 in words is "four hundred fifty-five million, three hundred twenty-eight thousand, nine hundred sixty".