480520560 has 160 divisors (see below), whose sum is σ = 1613521728. Its totient is φ = 117596160.

The previous prime is 480520543. The next prime is 480520613. The reversal of 480520560 is 65025084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726630 + ... + 727290.

Almost surely, 2^480520560 is an apocalyptic number.

480520560 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 480520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806760864).

480520560 is an abundant number, since it is smaller than the sum of its proper divisors (1133001168).

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

480520560 is a wasteful number, since it uses less digits than its factorization.

480520560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 480520560 is about 21920.7791832316. The cubic root of 480520560 is about 783.2564709051.

The spelling of 480520560 in words is "four hundred eighty million, five hundred twenty thousand, five hundred sixty".