455579264 has 96 divisors (see below), whose sum is σ = 1111636800. Its totient is φ = 184923648.

The previous prime is 455579263. The next prime is 455579269. The reversal of 455579264 is 462975554.

It is not an unprimeable number, because it can be changed into a prime (455579263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117257 + ... + 121079.

It is an arithmetic number, because the mean of its divisors is an integer number (11579550).

Almost surely, 2^455579264 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 455579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555818400).

455579264 is an abundant number, since it is smaller than the sum of its proper divisors (656057536).

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

455579264 is a wasteful number, since it uses less digits than its factorization.

455579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3851 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 47.

The square root of 455579264 is about 21344.3028464272. The cubic root of 455579264 is about 769.4634278311.

The spelling of 455579264 in words is "four hundred fifty-five million, five hundred seventy-nine thousand, two hundred sixty-four".