525322400 has 72 divisors (see below), whose sum is σ = 1312353504. Its totient is φ = 205228800.

The previous prime is 525322387. The next prime is 525322433. The reversal of 525322400 is 4223525.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26765 + ... + 42035.

It is an arithmetic number, because the mean of its divisors is an integer number (18227132).

Almost surely, 2^525322400 is an apocalyptic number.

525322400 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 525322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656176752).

525322400 is an abundant number, since it is smaller than the sum of its proper divisors (787031104).

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

525322400 is a wasteful number, since it uses less digits than its factorization.

525322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15334 (or 15321 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 525322400 is about 22919.9127397990. The cubic root of 525322400 is about 806.8794223627.

Adding to 525322400 its reverse (4223525), we get a palindrome (529545925).

The spelling of 525322400 in words is "five hundred twenty-five million, three hundred twenty-two thousand, four hundred".