455164304 has 80 divisors (see below), whose sum is σ = 1071360000. Its totient is φ = 182984832.

The previous prime is 455164223. The next prime is 455164349. The reversal of 455164304 is 403461554.

It is a super-4 number, since 4×455164304⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226697 + ... + 228695.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2^455164304 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 455164304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680000).

455164304 is an abundant number, since it is smaller than the sum of its proper divisors (616195696).

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

455164304 is a wasteful number, since it uses less digits than its factorization.

455164304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 455164304 is about 21334.5800052403. The cubic root of 455164304 is about 769.2297374058.

The spelling of 455164304 in words is "four hundred fifty-five million, one hundred sixty-four thousand, three hundred four".