480123560 has 96 divisors (see below), whose sum is σ = 1261733760. Its totient is φ = 163949184.

The previous prime is 480123547. The next prime is 480123587. The reversal of 480123560 is 65321084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954269 + ... + 954771.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 2^480123560 is an apocalyptic number.

480123560 is a gapful number since it is divisible by the number (40) 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 480123560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630866880).

480123560 is an abundant number, since it is smaller than the sum of its proper divisors (781610200).

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

480123560 is a wasteful number, since it uses less digits than its factorization.

480123560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 480123560 is about 21911.7219770606. The cubic root of 480123560 is about 783.0407059485.

The spelling of 480123560 in words is "four hundred eighty million, one hundred twenty-three thousand, five hundred sixty".