115484256 has 72 divisors (see below), whose sum is σ = 329808024. Its totient is φ = 38330880.

The previous prime is 115484251. The next prime is 115484279. The reversal of 115484256 is 652484511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×115484256² = 26673226767747072, which contains 22 as substring.

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 115484256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115484251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80215 + ... + 81641.

It is an arithmetic number, because the mean of its divisors is an integer number (4580667).

Almost surely, 2^115484256 is an apocalyptic number.

115484256 is a gapful number since it is divisible by the number (16) 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 115484256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164904012).

115484256 is an abundant number, since it is smaller than the sum of its proper divisors (214323768).

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

115484256 is a wasteful number, since it uses less digits than its factorization.

115484256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1713 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 115484256 is about 10746.3601279689. The cubic root of 115484256 is about 486.9760398159.

The spelling of 115484256 in words is "one hundred fifteen million, four hundred eighty-four thousand, two hundred fifty-six".