525038400 has 378 divisors, whose sum is σ = 1988996022. Its totient is φ = 131328000.

The previous prime is 525038321. The next prime is 525038429. The reversal of 525038400 is 4830525.

525038400 is a `hidden beast` number, since 5 + 250 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 140564736 + 384473664 = 11856^2 + 19608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5198350 + ... + 5198450.

Almost surely, 2^525038400 is an apocalyptic number.

525038400 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 525038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994498011).

525038400 is an abundant number, since it is smaller than the sum of its proper divisors (1463957622).

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

525038400 is a wasteful number, since it uses less digits than its factorization.

525038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 525038400 is about 22913.7164161556. The cubic root of 525038400 is about 806.7339909962.

Adding to 525038400 its reverse (4830525), we get a palindrome (529868925).

The spelling of 525038400 in words is "five hundred twenty-five million, thirty-eight thousand, four hundred".