525090400 has 108 divisors (see below), whose sum is σ = 1326501036. Its totient is φ = 202963200.

The previous prime is 525090389. The next prime is 525090427. The reversal of 525090400 is 4090525.

It is a super-3 number, since 3×525090400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 768459 + ... + 769141.

It is an arithmetic number, because the mean of its divisors is an integer number (12282417).

Almost surely, 2^525090400 is an apocalyptic number.

525090400 is a gapful number since it is divisible by the number (50) 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 525090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663250518).

525090400 is an abundant number, since it is smaller than the sum of its proper divisors (801410636).

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

525090400 is a wasteful number, since it uses less digits than its factorization.

525090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 525090400 is about 22914.8510795946. The cubic root of 525090400 is about 806.7606231960.

The spelling of 525090400 in words is "five hundred twenty-five million, ninety thousand, four hundred".