524416680 has 160 divisors (see below), whose sum is σ = 1866502440. Its totient is φ = 131604480.

The previous prime is 524416679. The next prime is 524416687. The reversal of 524416680 is 86614425.

It can be written as a sum of positive squares in 4 ways, for example, as 464230116 + 60186564 = 21546^2 + 7758^2 .

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

It is not an unprimeable number, because it can be changed into a prime (524416687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50320 + ... + 59840.

Almost surely, 2^524416680 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 524416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933251220).

524416680 is an abundant number, since it is smaller than the sum of its proper divisors (1342085760).

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

524416680 is a wasteful number, since it uses less digits than its factorization.

524416680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9561 (or 9548 counting only the distinct ones).

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

The square root of 524416680 is about 22900.1458510639. The cubic root of 524416680 is about 806.4154360353.

The spelling of 524416680 in words is "five hundred twenty-four million, four hundred sixteen thousand, six hundred eighty".