525724416 has 216 divisors, whose sum is σ = 1781174304. Its totient is φ = 145981440.

The previous prime is 525724393. The next prime is 525724417. The reversal of 525724416 is 614427525.

It is a happy number.

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 (525724417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596296 + ... + 597176.

Almost surely, 2^525724416 is an apocalyptic number.

525724416 is a gapful number since it is divisible by the number (56) 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 525724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890587152).

525724416 is an abundant number, since it is smaller than the sum of its proper divisors (1255449888).

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

525724416 is a wasteful number, since it uses less digits than its factorization.

525724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 930 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 525724416 is about 22928.6810785095. The cubic root of 525724416 is about 807.0851980456.

The spelling of 525724416 in words is "five hundred twenty-five million, seven hundred twenty-four thousand, four hundred sixteen".