253452100 has 72 divisors (see below), whose sum is σ = 606086208. Its totient is φ = 91228800.

The previous prime is 253452079. The next prime is 253452113. The reversal of 253452100 is 1254352.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112182 + ... + 114418.

It is an arithmetic number, because the mean of its divisors is an integer number (8417864).

Almost surely, 2^253452100 is an apocalyptic number.

253452100 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 253452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303043104).

253452100 is an abundant number, since it is smaller than the sum of its proper divisors (352634108).

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

253452100 is a wasteful number, since it uses less digits than its factorization.

253452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 253452100 is about 15920.1790190940. The cubic root of 253452100 is about 632.8468625043.

The spelling of 253452100 in words is "two hundred fifty-three million, four hundred fifty-two thousand, one hundred".