525088400 has 60 divisors (see below), whose sum is σ = 1272798372. Its totient is φ = 208158720.

The previous prime is 525088393. The next prime is 525088409. The reversal of 525088400 is 4880525.

It can be written as a sum of positive squares in 6 ways, for example, as 142181776 + 382906624 = 11924^2 + 19568^2 .

It is not an unprimeable number, because it can be changed into a prime (525088409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39392 + ... + 51008.

Almost surely, 2^525088400 is an apocalyptic number.

525088400 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 525088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636399186).

525088400 is an abundant number, since it is smaller than the sum of its proper divisors (747709972).

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

525088400 is a wasteful number, since it uses less digits than its factorization.

525088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 525088400 is about 22914.8074397321. The cubic root of 525088400 is about 806.7595989132.

The spelling of 525088400 in words is "five hundred twenty-five million, eighty-eight thousand, four hundred".