480523680 has 576 divisors, whose sum is σ = 2135427840. Its totient is φ = 95551488.

The previous prime is 480523663. The next prime is 480523711. The reversal of 480523680 is 86325084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489664 + ... + 2489856.

It is an arithmetic number, because the mean of its divisors is an integer number (3707340).

Almost surely, 2^480523680 is an apocalyptic number.

480523680 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 480523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067713920).

480523680 is an abundant number, since it is smaller than the sum of its proper divisors (1654904160).

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

480523680 is a wasteful number, since it uses less digits than its factorization.

480523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 480523680 is about 21920.8503484696. The cubic root of 480523680 is about 783.2581661186.

The spelling of 480523680 in words is "four hundred eighty million, five hundred twenty-three thousand, six hundred eighty".