455264320 has 168 divisors, whose sum is σ = 1309932864. Its totient is φ = 147612672.

The previous prime is 455264311. The next prime is 455264321. The reversal of 455264320 is 23462554.

It is not an unprimeable number, because it can be changed into a prime (455264321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808359 + ... + 808921.

Almost surely, 2^455264320 is an apocalyptic number.

455264320 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 455264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654966432).

455264320 is an abundant number, since it is smaller than the sum of its proper divisors (854668544).

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

455264320 is a wasteful number, since it uses less digits than its factorization.

455264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 455264320 is about 21336.9238645124. The cubic root of 455264320 is about 769.2860757773.

The spelling of 455264320 in words is "four hundred fifty-five million, two hundred sixty-four thousand, three hundred twenty".