253944200 has 48 divisors (see below), whose sum is σ = 601585380. Its totient is φ = 99656960.

The previous prime is 253944191. The next prime is 253944217. The reversal of 253944200 is 2449352.

It can be written as a sum of positive squares in 6 ways, for example, as 162970756 + 90973444 = 12766^2 + 9538^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1379 + ... + 22578.

Almost surely, 2^253944200 is an apocalyptic number.

253944200 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 253944200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300792690).

253944200 is an abundant number, since it is smaller than the sum of its proper divisors (347641180).

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

253944200 is a wasteful number, since it uses less digits than its factorization.

253944200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24026 (or 24017 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 253944200 is about 15935.6267526571. The cubic root of 253944200 is about 633.2561740411.

The spelling of 253944200 in words is "two hundred fifty-three million, nine hundred forty-four thousand, two hundred".