252792300 has 72 divisors (see below), whose sum is σ = 737984016. Its totient is φ = 66805760.

The previous prime is 252792289. The next prime is 252792301. The reversal of 252792300 is 3297252.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (252792301) 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, 30172 + ... + 37628.

It is an arithmetic number, because the mean of its divisors is an integer number (10249778).

Almost surely, 2^252792300 is an apocalyptic number.

252792300 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 252792300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368992008).

252792300 is an abundant number, since it is smaller than the sum of its proper divisors (485191716).

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

252792300 is a wasteful number, since it uses less digits than its factorization.

252792300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 252792300 is about 15899.4433864837. The cubic root of 252792300 is about 632.2972317374.

The spelling of 252792300 in words is "two hundred fifty-two million, seven hundred ninety-two thousand, three hundred".