480242496 has 56 divisors (see below), whose sum is σ = 1279245600. Its totient is φ = 158996992.

The previous prime is 480242491. The next prime is 480242513. The reversal of 480242496 is 694242084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480242491) 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, 20215 + ... + 37001.

Almost surely, 2^480242496 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 480242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639622800).

480242496 is an abundant number, since it is smaller than the sum of its proper divisors (799003104).

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

480242496 is a wasteful number, since it uses less digits than its factorization.

480242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16951 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 480242496 is about 21914.4357901361. The cubic root of 480242496 is about 783.1053587782.

The spelling of 480242496 in words is "four hundred eighty million, two hundred forty-two thousand, four hundred ninety-six".