480515712 has 64 divisors (see below), whose sum is σ = 1306097760. Its totient is φ = 156441600.

The previous prime is 480515689. The next prime is 480515713. The reversal of 480515712 is 217515084.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (480515713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962 + ... + 31062.

Almost surely, 2^480515712 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 480515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653048880).

480515712 is an abundant number, since it is smaller than the sum of its proper divisors (825582048).

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

480515712 is a wasteful number, since it uses less digits than its factorization.

480515712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29161 (or 29149 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 480515712 is about 21920.6686029418. The cubic root of 480515712 is about 783.2538367895.

The spelling of 480515712 in words is "four hundred eighty million, five hundred fifteen thousand, seven hundred twelve".