253368900 has 108 divisors (see below), whose sum is σ = 812763952. Its totient is φ = 65983680.

The previous prime is 253368887. The next prime is 253368923. The reversal of 253368900 is 9863352.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 35427 + ... + 41973.

Almost surely, 2^253368900 is an apocalyptic number.

253368900 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 253368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406381976).

253368900 is an abundant number, since it is smaller than the sum of its proper divisors (559395052).

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

253368900 is a wasteful number, since it uses less digits than its factorization.

253368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253368900 is about 15917.5657686720. The cubic root of 253368900 is about 632.7776073125. Note that the first 3 decimals are identical.

The spelling of 253368900 in words is "two hundred fifty-three million, three hundred sixty-eight thousand, nine hundred".