525120400 has 180 divisors, whose sum is σ = 1499959552. Its totient is φ = 173053440.

The previous prime is 525120397. The next prime is 525120403. The reversal of 525120400 is 4021525.

It is an interprime number because it is at equal distance from previous prime (525120397) and next prime (525120403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525120403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2354689 + ... + 2354911.

Almost surely, 2^525120400 is an apocalyptic number.

525120400 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 525120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749979776).

525120400 is an abundant number, since it is smaller than the sum of its proper divisors (974839152).

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

525120400 is a wasteful number, since it uses less digits than its factorization.

525120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 525120400 is about 22915.5056675606. The cubic root of 525120400 is about 806.7759871269.

Adding to 525120400 its reverse (4021525), we get a palindrome (529141925).

It can be divided in two parts, 5251 and 20400, that added together give a triangular number (25651 = T₂₂₆).

The spelling of 525120400 in words is "five hundred twenty-five million, one hundred twenty thousand, four hundred".