253749140 has 48 divisors (see below), whose sum is σ = 565693632. Its totient is φ = 95279616.

The previous prime is 253749127. The next prime is 253749143. The reversal of 253749140 is 41947352.

253749140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253749140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253749143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177107 + ... + 178533.

It is an arithmetic number, because the mean of its divisors is an integer number (11785284).

Almost surely, 2^253749140 is an apocalyptic number.

253749140 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 253749140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282846816).

253749140 is an abundant number, since it is smaller than the sum of its proper divisors (311944492).

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

253749140 is a wasteful number, since it uses less digits than its factorization.

253749140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 253749140 is about 15929.5053281638. The cubic root of 253749140 is about 633.0939932816.

The spelling of 253749140 in words is "two hundred fifty-three million, seven hundred forty-nine thousand, one hundred forty".