524482560 has 384 divisors, whose sum is σ = 2138572800. Its totient is φ = 119439360.

The previous prime is 524482531. The next prime is 524482571. The reversal of 524482560 is 65284425.

It is a happy number.

524482560 is a `hidden beast` number, since 52 + 4 + 48 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 1935225 + ... + 1935495.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^524482560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

524482560 is an abundant number, since it is smaller than the sum of its proper divisors (1614090240).

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

524482560 is a wasteful number, since it uses less digits than its factorization.

524482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

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

The square root of 524482560 is about 22901.5842246776. The cubic root of 524482560 is about 806.4492033470.

The spelling of 524482560 in words is "five hundred twenty-four million, four hundred eighty-two thousand, five hundred sixty".