253988 has 24 divisors (see below), whose sum is σ = 521472. Its totient is φ = 105984.

The previous prime is 253987. The next prime is 253993. The reversal of 253988 is 889352.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (253987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (21728).

2²⁵³⁹⁸⁸ is an apocalyptic number.

253988 is a gapful number since it is divisible by the number (28) 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 253988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260736).

253988 is an abundant number, since it is smaller than the sum of its proper divisors (267484).

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

253988 is a wasteful number, since it uses less digits than its factorization.

253988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 253988 is about 503.9722214567. The cubic root of 253988 is about 63.3292579711.

The spelling of 253988 in words is "two hundred fifty-three thousand, nine hundred eighty-eight".