252142400 has 84 divisors (see below), whose sum is σ = 631179840. Its totient is φ = 99110400.

The previous prime is 252142393. The next prime is 252142403. The reversal of 252142400 is 4241252.

It is a happy number.

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 (252142403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93065 + ... + 95735.

Almost surely, 2^252142400 is an apocalyptic number.

252142400 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 252142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315589920).

252142400 is an abundant number, since it is smaller than the sum of its proper divisors (379037440).

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

252142400 is a wasteful number, since it uses less digits than its factorization.

252142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 252142400 is about 15878.9924113591. The cubic root of 252142400 is about 631.7549121783.

Adding to 252142400 its reverse (4241252), we get a palindrome (256383652).

The spelling of 252142400 in words is "two hundred fifty-two million, one hundred forty-two thousand, four hundred".