480090048 has 56 divisors (see below), whose sum is σ = 1287676368. Its totient is φ = 157833216.

The previous prime is 480089999. The next prime is 480090053. The reversal of 480090048 is 840090084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3111 + ... + 31142.

Almost surely, 2^480090048 is an apocalyptic number.

480090048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643838184).

480090048 is an abundant number, since it is smaller than the sum of its proper divisors (807586320).

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

480090048 is a wasteful number, since it uses less digits than its factorization.

480090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34341 (or 34331 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 480090048 is about 21910.9572588694. The cubic root of 480090048 is about 783.0224871170.

The spelling of 480090048 in words is "four hundred eighty million, ninety thousand, forty-eight".