253295200 has 72 divisors (see below), whose sum is σ = 620585280. Its totient is φ = 100953600.

The previous prime is 253295179. The next prime is 253295209. The reversal of 253295200 is 2592352.

253295200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253295209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382870 + ... + 383530.

It is an arithmetic number, because the mean of its divisors is an integer number (8619240).

Almost surely, 2^253295200 is an apocalyptic number.

253295200 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 253295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

253295200 is an abundant number, since it is smaller than the sum of its proper divisors (367290080).

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

253295200 is a wasteful number, since it uses less digits than its factorization.

253295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 253295200 is about 15915.2505478236. The cubic root of 253295200 is about 632.7162472006.

The spelling of 253295200 in words is "two hundred fifty-three million, two hundred ninety-five thousand, two hundred".