252891300 has 72 divisors (see below), whose sum is σ = 751507456. Its totient is φ = 65612160.

The previous prime is 252891283. The next prime is 252891313. The reversal of 252891300 is 3198252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292 + ... + 22491.

Almost surely, 2^252891300 is an apocalyptic number.

252891300 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 252891300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375753728).

252891300 is an abundant number, since it is smaller than the sum of its proper divisors (498616156).

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

252891300 is a wasteful number, since it uses less digits than its factorization.

252891300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22837 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 252891300 is about 15902.5563982650. The cubic root of 252891300 is about 632.3797622787.

The spelling of 252891300 in words is "two hundred fifty-two million, eight hundred ninety-one thousand, three hundred".