524316672 has 208 divisors, whose sum is σ = 1698485760. Its totient is φ = 158515200.

The previous prime is 524316649. The next prime is 524316679. The reversal of 524316672 is 276613425.

524316672 is a `hidden beast` number, since 524 + 3 + 1 + 66 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524316679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216297 + ... + 1216727.

Almost surely, 2^524316672 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 524316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849242880).

524316672 is an abundant number, since it is smaller than the sum of its proper divisors (1174169088).

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

524316672 is a wasteful number, since it uses less digits than its factorization.

524316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 447 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 524316672 is about 22897.9621800718. The cubic root of 524316672 is about 806.3641707437.

The spelling of 524316672 in words is "five hundred twenty-four million, three hundred sixteen thousand, six hundred seventy-two".