482524560 has 480 divisors, whose sum is σ = 1994872320. Its totient is φ = 106831872.

The previous prime is 482524541. The next prime is 482524573. The reversal of 482524560 is 65425284.

It is a happy number.

482524560 is a `hidden beast` number, since 4 + 82 + 524 + 56 + 0 = 666.

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, 4974432 + ... + 4974528.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2^482524560 is an apocalyptic number.

482524560 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 482524560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

482524560 is an abundant number, since it is smaller than the sum of its proper divisors (1512347760).

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

482524560 is a wasteful number, since it uses less digits than its factorization.

482524560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 482524560 is about 21966.4416781599. The cubic root of 482524560 is about 784.3438117893.

The spelling of 482524560 in words is "four hundred eighty-two million, five hundred twenty-four thousand, five hundred sixty".