252335400 has 96 divisors (see below), whose sum is σ = 794041440. Its totient is φ = 66274560.

The previous prime is 252335399. The next prime is 252335407. The reversal of 252335400 is 4533252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (252335407) 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, 37062 + ... + 43338.

It is an arithmetic number, because the mean of its divisors is an integer number (8271265).

Almost surely, 2^252335400 is an apocalyptic number.

252335400 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 252335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397020720).

252335400 is an abundant number, since it is smaller than the sum of its proper divisors (541706040).

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

252335400 is a wasteful number, since it uses less digits than its factorization.

252335400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 252335400 is about 15885.0684606646. The cubic root of 252335400 is about 631.9160613299.

Adding to 252335400 its reverse (4533252), we get a palindrome (256868652).

The spelling of 252335400 in words is "two hundred fifty-two million, three hundred thirty-five thousand, four hundred".