525829920 has 384 divisors, whose sum is σ = 2121541632. Its totient is φ = 106291200.

The previous prime is 525829901. The next prime is 525829951. The reversal of 525829920 is 29928525.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515187 + ... + 1515533.

It is an arithmetic number, because the mean of its divisors is an integer number (5524848).

Almost surely, 2^525829920 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 525829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060770816).

525829920 is an abundant number, since it is smaller than the sum of its proper divisors (1595711712).

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

525829920 is a wasteful number, since it uses less digits than its factorization.

525829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 525829920 is about 22930.9816623711. The cubic root of 525829920 is about 807.1391838848.

The spelling of 525829920 in words is "five hundred twenty-five million, eight hundred twenty-nine thousand, nine hundred twenty".