252117600 has 288 divisors, whose sum is σ = 962438400. Its totient is φ = 56125440.

The previous prime is 252117587. The next prime is 252117601. The reversal of 252117600 is 6711252.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252117601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722226 + ... + 722574.

It is an arithmetic number, because the mean of its divisors is an integer number (3341800).

Almost surely, 2^252117600 is an apocalyptic number.

252117600 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 252117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

252117600 is an abundant number, since it is smaller than the sum of its proper divisors (710320800).

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

252117600 is a wasteful number, since it uses less digits than its factorization.

252117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 252117600 is about 15878.2114861845. The cubic root of 252117600 is about 631.7341989682.

Adding to 252117600 its reverse (6711252), we get a palindrome (258828852).

The spelling of 252117600 in words is "two hundred fifty-two million, one hundred seventeen thousand, six hundred".