525903840 has 960 divisors, whose sum is σ = 2529128448. Its totient is φ = 99532800.

The previous prime is 525903787. The next prime is 525903841. The reversal of 525903840 is 48309525.

525903840 is a `hidden beast` number, since 525 + 90 + 3 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 525903795 and 525903804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525903841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16964625 + ... + 16964655.

Almost surely, 2^525903840 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 525903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264564224).

525903840 is an abundant number, since it is smaller than the sum of its proper divisors (2003224608).

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

525903840 is a wasteful number, since it uses less digits than its factorization.

525903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 525903840 is about 22932.5933989159. The cubic root of 525903840 is about 807.1770040560.

The spelling of 525903840 in words is "five hundred twenty-five million, nine hundred three thousand, eight hundred forty".