480454464 has 224 divisors, whose sum is σ = 1515709440. Its totient is φ = 131493888.

The previous prime is 480454453. The next prime is 480454489. The reversal of 480454464 is 464454084.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5788567 + ... + 5788649.

It is an arithmetic number, because the mean of its divisors is an integer number (6766560).

Almost surely, 2^480454464 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 480454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757854720).

480454464 is an abundant number, since it is smaller than the sum of its proper divisors (1035254976).

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

480454464 is a wasteful number, since it uses less digits than its factorization.

480454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The square root of 480454464 is about 21919.2715207417. The cubic root of 480454464 is about 783.2205567335.

The spelling of 480454464 in words is "four hundred eighty million, four hundred fifty-four thousand, four hundred sixty-four".