252646900 has 108 divisors (see below), whose sum is σ = 620585280. Its totient is φ = 88536000.

The previous prime is 252646861. The next prime is 252646913. The reversal of 252646900 is 9646252.

It is a super-2 number, since 2×252646900² = 127660912159220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1056981 + ... + 1057219.

It is an arithmetic number, because the mean of its divisors is an integer number (5746160).

Almost surely, 2^252646900 is an apocalyptic number.

252646900 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 252646900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

252646900 is an abundant number, since it is smaller than the sum of its proper divisors (367938380).

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

252646900 is a wasteful number, since it uses less digits than its factorization.

252646900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 252646900 is about 15894.8702416849. The cubic root of 252646900 is about 632.1759811434.

The spelling of 252646900 in words is "two hundred fifty-two million, six hundred forty-six thousand, nine hundred".