53456256 has 144 divisors (see below), whose sum is σ = 179129340. Its totient is φ = 15257088.

The previous prime is 53456243. The next prime is 53456281. The reversal of 53456256 is 65265435.

It is a happy number.

53456256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53456256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55975 + ... + 56921.

Almost surely, 2^53456256 is an apocalyptic number.

53456256 is a gapful number since it is divisible by the number (56) 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 53456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89564670).

53456256 is an abundant number, since it is smaller than the sum of its proper divisors (125673084).

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

53456256 is a wasteful number, since it uses less digits than its factorization.

53456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 53456256 is about 7311.3785293883. The cubic root of 53456256 is about 376.7033763092.

The spelling of 53456256 in words is "fifty-three million, four hundred fifty-six thousand, two hundred fifty-six".