525400 has 48 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 201600.

The previous prime is 525397. The next prime is 525409. The reversal of 525400 is 4525.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7365 + ... + 7435.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2⁵²⁵⁴⁰⁰ is an apocalyptic number.

525400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

525400 is the 592-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

525400 is an abundant number, since it is smaller than the sum of its proper divisors (746840).

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

525400 is a wasteful number, since it uses less digits than its factorization.

525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 525400 is about 724.8448109768. The cubic root of 525400 is about 80.6919150829.

Adding to 525400 its reverse (4525), we get a palindrome (529925).

The spelling of 525400 in words is "five hundred twenty-five thousand, four hundred".