253965936 has 80 divisors (see below), whose sum is σ = 762157568. Its totient is φ = 71366400.

The previous prime is 253965917. The next prime is 253965937. The reversal of 253965936 is 639569352.

253965936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253965937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14301 + ... + 26691.

Almost surely, 2^253965936 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 253965936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381078784).

253965936 is an abundant number, since it is smaller than the sum of its proper divisors (508191632).

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

253965936 is a wasteful number, since it uses less digits than its factorization.

253965936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470 (or 12464 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 48.

The square root of 253965936 is about 15936.3087319492. The cubic root of 253965936 is about 633.2742410856.

The spelling of 253965936 in words is "two hundred fifty-three million, nine hundred sixty-five thousand, nine hundred thirty-six".