480015696 has 80 divisors (see below), whose sum is σ = 1317772800. Its totient is φ = 150136704.

The previous prime is 480015667. The next prime is 480015709. The reversal of 480015696 is 696510084.

It is a congruent number.

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, 95125 + ... + 100043.

It is an arithmetic number, because the mean of its divisors is an integer number (16472160).

Almost surely, 2^480015696 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 480015696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658886400).

480015696 is an abundant number, since it is smaller than the sum of its proper divisors (837757104).

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

480015696 is a wasteful number, since it uses less digits than its factorization.

480015696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 480015696 is about 21909.2605078309. The cubic root of 480015696 is about 782.9820625522.

The spelling of 480015696 in words is "four hundred eighty million, fifteen thousand, six hundred ninety-six".