115774400 has 84 divisors (see below), whose sum is σ = 325605648. Its totient is φ = 39690240.

The previous prime is 115774357. The next prime is 115774411. The reversal of 115774400 is 4477511.

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 11 ways as a sum of consecutive naturals, for example, 6032 + ... + 16368.

Almost surely, 2^115774400 is an apocalyptic number.

115774400 is a gapful number since it is divisible by the number (10) 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 115774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162802824).

115774400 is an abundant number, since it is smaller than the sum of its proper divisors (209831248).

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

115774400 is a wasteful number, since it uses less digits than its factorization.

115774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 115774400 is about 10759.8513000877. The cubic root of 115774400 is about 487.3835268535.

It can be divided in two parts, 1157 and 74400, that added together give a palindrome (75557).

The spelling of 115774400 in words is "one hundred fifteen million, seven hundred seventy-four thousand, four hundred".