252520400 has 120 divisors (see below), whose sum is σ = 685000800. Its totient is φ = 88614400.

The previous prime is 252520399. The next prime is 252520403. The reversal of 252520400 is 4025252.

252520400 is digitally balanced in base 2, 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 (252520403) 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, 126611 + ... + 128589.

It is an arithmetic number, because the mean of its divisors is an integer number (5708340).

Almost surely, 2^252520400 is an apocalyptic number.

252520400 is a gapful number since it is divisible by the number (20) 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 252520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342500400).

252520400 is an abundant number, since it is smaller than the sum of its proper divisors (432480400).

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

252520400 is a wasteful number, since it uses less digits than its factorization.

252520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2026 counting only the distinct ones).

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

The square root of 252520400 is about 15890.8904722171. The cubic root of 252520400 is about 632.0704536102.

Adding to 252520400 its reverse (4025252), we get a palindrome (256545652).

The spelling of 252520400 in words is "two hundred fifty-two million, five hundred twenty thousand, four hundred".