253009800 has 144 divisors (see below), whose sum is σ = 854231040. Its totient is φ = 67109760.

The previous prime is 253009763. The next prime is 253009829. The reversal of 253009800 is 8900352.

253009800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 660409 + ... + 660791.

It is an arithmetic number, because the mean of its divisors is an integer number (5932160).

Almost surely, 2^253009800 is an apocalyptic number.

253009800 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 253009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427115520).

253009800 is an abundant number, since it is smaller than the sum of its proper divisors (601221240).

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

253009800 is a wasteful number, since it uses less digits than its factorization.

253009800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253009800 is about 15906.2817779643. The cubic root of 253009800 is about 632.4785205202.

The spelling of 253009800 in words is "two hundred fifty-three million, nine thousand, eight hundred".