253289300 has 90 divisors (see below), whose sum is σ = 608092590. Its totient is φ = 91572800.

The previous prime is 253289297. The next prime is 253289327. The reversal of 253289300 is 3982352.

253289300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 56280004 + 197009296 = 7502^2 + 14036^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1464014 + ... + 1464186.

Almost surely, 2^253289300 is an apocalyptic number.

253289300 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 253289300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304046295).

253289300 is an abundant number, since it is smaller than the sum of its proper divisors (354803290).

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

253289300 is a wasteful number, since it uses less digits than its factorization.

253289300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 253289300 is about 15915.0651899387. The cubic root of 253289300 is about 632.7113345468.

The spelling of 253289300 in words is "two hundred fifty-three million, two hundred eighty-nine thousand, three hundred".