525438720 has 216 divisors, whose sum is σ = 1925619696. Its totient is φ = 131825664.

The previous prime is 525438677. The next prime is 525438731. The reversal of 525438720 is 27834525.

525438720 is a `hidden beast` number, since 5 + 254 + 387 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194499 + ... + 197181.

It is an arithmetic number, because the mean of its divisors is an integer number (8914906).

Almost surely, 2^525438720 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 525438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962809848).

525438720 is an abundant number, since it is smaller than the sum of its proper divisors (1400180976).

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

525438720 is a wasteful number, since it uses less digits than its factorization.

525438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2710 counting only the distinct ones).

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

The square root of 525438720 is about 22922.4501308215. The cubic root of 525438720 is about 806.9389726426.

The spelling of 525438720 in words is "five hundred twenty-five million, four hundred thirty-eight thousand, seven hundred twenty".