253887872 has 64 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 108132864.

The previous prime is 253887871. The next prime is 253887919. The reversal of 253887872 is 278788352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×253887872⁴ (a number of 35 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253887872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253887871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159593 + ... + 161175.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^253887872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

253887872 is an abundant number, since it is smaller than the sum of its proper divisors (327756928).

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

253887872 is a wasteful number, since it uses less digits than its factorization.

253887872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1771 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 50.

The square root of 253887872 is about 15933.8592939689. The cubic root of 253887872 is about 633.2093491987.

The spelling of 253887872 in words is "two hundred fifty-three million, eight hundred eighty-seven thousand, eight hundred seventy-two".