252730800 has 240 divisors, whose sum is σ = 1028346880. Its totient is φ = 57749760.

The previous prime is 252730783. The next prime is 252730811. The reversal of 252730800 is 8037252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73929 + ... + 77271.

Almost surely, 2^252730800 is an apocalyptic number.

252730800 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 252730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514173440).

252730800 is an abundant number, since it is smaller than the sum of its proper divisors (775616080).

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

252730800 is a wasteful number, since it uses less digits than its factorization.

252730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 252730800 is about 15897.5092388714. The cubic root of 252730800 is about 632.2459519138.

The spelling of 252730800 in words is "two hundred fifty-two million, seven hundred thirty thousand, eight hundred".