253250400 has 144 divisors (see below), whose sum is σ = 887849424. Its totient is φ = 62330880.

The previous prime is 253250363. The next prime is 253250461. The reversal of 253250400 is 4052352.

It is a congruent number.

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, 27142 + ... + 35258.

It is an arithmetic number, because the mean of its divisors is an integer number (6165621).

Almost surely, 2^253250400 is an apocalyptic number.

253250400 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 253250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443924712).

253250400 is an abundant number, since it is smaller than the sum of its proper divisors (634599024).

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

253250400 is a wasteful number, since it uses less digits than its factorization.

253250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 253250400 is about 15913.8430305191. The cubic root of 253250400 is about 632.6789424284.

The spelling of 253250400 in words is "two hundred fifty-three million, two hundred fifty thousand, four hundred".