252381200 has 60 divisors (see below), whose sum is σ = 627283140. Its totient is φ = 97466880.

The previous prime is 252381197. The next prime is 252381203. The reversal of 252381200 is 2183252.

It is an interprime number because it is at equal distance from previous prime (252381197) and next prime (252381203).

It can be written as a sum of positive squares in 6 ways, for example, as 3625216 + 248755984 = 1904^2 + 15772^2 .

It is a super-2 number, since 2×252381200² = 127392540226880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252381203) 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, 722 + ... + 22478.

It is an arithmetic number, because the mean of its divisors is an integer number (10454719).

Almost surely, 2^252381200 is an apocalyptic number.

252381200 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 252381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313641570).

252381200 is an abundant number, since it is smaller than the sum of its proper divisors (374901940).

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

252381200 is a wasteful number, since it uses less digits than its factorization.

252381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21804 (or 21793 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 252381200 is about 15886.5100006263. The cubic root of 252381200 is about 631.9542908778.

The spelling of 252381200 in words is "two hundred fifty-two million, three hundred eighty-one thousand, two hundred".