252841800 has 96 divisors (see below), whose sum is σ = 798698880. Its totient is φ = 66144000.

The previous prime is 252841781. The next prime is 252841843. The reversal of 252841800 is 8148252.

It is a Cunningham number, because it is equal to 15901²-1.

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, 27825 + ... + 35775.

It is an arithmetic number, because the mean of its divisors is an integer number (8319780).

Almost surely, 2^252841800 is an apocalyptic number.

252841800 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 252841800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399349440).

252841800 is an abundant number, since it is smaller than the sum of its proper divisors (545857080).

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

252841800 is a wasteful number, since it uses less digits than its factorization.

252841800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 252841800 is about 15900.9999685554. Note that the first 4 decimals coincide. The cubic root of 252841800 is about 632.3384997009.

The spelling of 252841800 in words is "two hundred fifty-two million, eight hundred forty-one thousand, eight hundred".