253117400 has 48 divisors (see below), whose sum is σ = 599626800. Its totient is φ = 99332480.

The previous prime is 253117339. The next prime is 253117429. The reversal of 253117400 is 4711352.

253117400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1340 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (12492225).

Almost surely, 2^253117400 is an apocalyptic number.

253117400 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 253117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299813400).

253117400 is an abundant number, since it is smaller than the sum of its proper divisors (346509400).

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

253117400 is a wasteful number, since it uses less digits than its factorization.

253117400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23948 (or 23939 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 253117400 is about 15909.6637299473. The cubic root of 253117400 is about 632.5681679616.

Adding to 253117400 its reverse (4711352), we get a palindrome (257828752).

The spelling of 253117400 in words is "two hundred fifty-three million, one hundred seventeen thousand, four hundred".