253857240 has 576 divisors, whose sum is σ = 1097984160. Its totient is φ = 52254720.

The previous prime is 253857193. The next prime is 253857299. The reversal of 253857240 is 42758352.

253857240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 253857195 and 253857204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6191620 + ... + 6191660.

Almost surely, 2^253857240 is an apocalyptic number.

253857240 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 253857240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

253857240 is an abundant number, since it is smaller than the sum of its proper divisors (844126920).

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

253857240 is a wasteful number, since it uses less digits than its factorization.

253857240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 253857240 is about 15932.8980414738. The cubic root of 253857240 is about 633.1838822491.

The spelling of 253857240 in words is "two hundred fifty-three million, eight hundred fifty-seven thousand, two hundred forty".