525332400 has 120 divisors (see below), whose sum is σ = 1689345744. Its totient is φ = 139545600.

The previous prime is 525332393. The next prime is 525332407. The reversal of 525332400 is 4233525.

It is an interprime number because it is at equal distance from previous prime (525332393) and next prime (525332407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (525332407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379710 + ... + 381090.

Almost surely, 2^525332400 is an apocalyptic number.

525332400 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 525332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844672872).

525332400 is an abundant number, since it is smaller than the sum of its proper divisors (1164013344).

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

525332400 is a wasteful number, since it uses less digits than its factorization.

525332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 525332400 is about 22920.1308896786. The cubic root of 525332400 is about 806.8845422301.

Adding to 525332400 its reverse (4233525), we get a palindrome (529565925).

The spelling of 525332400 in words is "five hundred twenty-five million, three hundred thirty-two thousand, four hundred".