480213984 has 24 divisors (see below), whose sum is σ = 1260561960. Its totient is φ = 160071296.

The previous prime is 480213983. The next prime is 480213989. The reversal of 480213984 is 489312084.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480213983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2501019 + ... + 2501210.

It is an arithmetic number, because the mean of its divisors is an integer number (52523415).

Almost surely, 2^480213984 is an apocalyptic number.

It is an amenable number.

480213984 is an abundant number, since it is smaller than the sum of its proper divisors (780347976).

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

480213984 is a wasteful number, since it uses less digits than its factorization.

480213984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002242 (or 5002234 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 480213984 is about 21913.7852503852. The cubic root of 480213984 is about 783.0898608148.

The spelling of 480213984 in words is "four hundred eighty million, two hundred thirteen thousand, nine hundred eighty-four".