253991760 has 320 divisors, whose sum is σ = 925655040. Its totient is φ = 56995840.

The previous prime is 253991743. The next prime is 253991767. The reversal of 253991760 is 67199352.

253991760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253991767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2853796 + ... + 2853884.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^253991760 is an apocalyptic number.

253991760 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 253991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462827520).

253991760 is an abundant number, since it is smaller than the sum of its proper divisors (671663280).

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

253991760 is a wasteful number, since it uses less digits than its factorization.

253991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 253991760 is about 15937.1189366209. The cubic root of 253991760 is about 633.2957047512.

The spelling of 253991760 in words is "two hundred fifty-three million, nine hundred ninety-one thousand, seven hundred sixty".