525400400 has 120 divisors (see below), whose sum is σ = 1489380864. Its totient is φ = 174297600.

The previous prime is 525400361. The next prime is 525400409. The reversal of 525400400 is 4004525.

It is a happy number.

525400400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525400409) 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, 83774 + ... + 89826.

Almost surely, 2^525400400 is an apocalyptic number.

525400400 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 525400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744690432).

525400400 is an abundant number, since it is smaller than the sum of its proper divisors (963980464).

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

525400400 is a wasteful number, since it uses less digits than its factorization.

525400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 525400400 is about 22921.6142537998. The cubic root of 525400400 is about 806.9193556052.

Adding to 525400400 its reverse (4004525), we get a palindrome (529404925).

The spelling of 525400400 in words is "five hundred twenty-five million, four hundred thousand, four hundred".