253456 has 40 divisors (see below), whose sum is σ = 587264. Its totient is φ = 103680.

The previous prime is 253447. The next prime is 253469. The reversal of 253456 is 654352.

253456 = T₃ + T₄ + ... + T₁₁₄.

253456 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3436 + ... + 3508.

2²⁵³⁴⁵⁶ 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 253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293632).

253456 is an abundant number, since it is smaller than the sum of its proper divisors (333808).

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

253456 is a wasteful number, since it uses less digits than its factorization.

253456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 253456 is about 503.4441379140. Note that the first 3 decimals coincide. The cubic root of 253456 is about 63.2850108470.

It can be divided in two parts, 25 and 3456, that added together give a square (3481 = 59²).

The spelling of 253456 in words is "two hundred fifty-three thousand, four hundred fifty-six".