253834140 has 192 divisors, whose sum is σ = 873621504. Its totient is φ = 53747712.

The previous prime is 253834111. The next prime is 253834193. The reversal of 253834140 is 41438352.

253834140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253834098 and 253834107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520977 + ... + 521463.

It is an arithmetic number, because the mean of its divisors is an integer number (4550112).

Almost surely, 2^253834140 is an apocalyptic number.

253834140 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 253834140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436810752).

253834140 is an abundant number, since it is smaller than the sum of its proper divisors (619787364).

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

253834140 is a wasteful number, since it uses less digits than its factorization.

253834140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 253834140 is about 15932.1731097801. The cubic root of 253834140 is about 633.1646759275.

The spelling of 253834140 in words is "two hundred fifty-three million, eight hundred thirty-four thousand, one hundred forty".