253795920 has 160 divisors (see below), whose sum is σ = 946606080. Its totient is φ = 54950400.

The previous prime is 253795909. The next prime is 253795921. The reversal of 253795920 is 29597352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253795921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27945 + ... + 35895.

It is an arithmetic number, because the mean of its divisors is an integer number (5916288).

Almost surely, 2^253795920 is an apocalyptic number.

253795920 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 253795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473303040).

253795920 is an abundant number, since it is smaller than the sum of its proper divisors (692810160).

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

253795920 is a wasteful number, since it uses less digits than its factorization.

253795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7993 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 253795920 is about 15930.9736048994. The cubic root of 253795920 is about 633.1328956364.

The spelling of 253795920 in words is "two hundred fifty-three million, seven hundred ninety-five thousand, nine hundred twenty".