253751040 has 108 divisors (see below), whose sum is σ = 877992024. Its totient is φ = 67663872.

The previous prime is 253751039. The next prime is 253751051. The reversal of 253751040 is 40157352.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 253750995 and 253751013.

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, 507 + ... + 22533.

Almost surely, 2^253751040 is an apocalyptic number.

253751040 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 253751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438996012).

253751040 is an abundant number, since it is smaller than the sum of its proper divisors (624240984).

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

253751040 is a wasteful number, since it uses less digits than its factorization.

253751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22054 (or 22037 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 253751040 is about 15929.5649658112. The cubic root of 253751040 is about 633.0955734191.

The spelling of 253751040 in words is "two hundred fifty-three million, seven hundred fifty-one thousand, forty".