115550400 has 336 divisors, whose sum is σ = 458581760. Its totient is φ = 24883200.

The previous prime is 115550399. The next prime is 115550429. The reversal of 115550400 is 4055511.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 638310 + ... + 638490.

Almost surely, 2^115550400 is an apocalyptic number.

115550400 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 115550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229290880).

115550400 is an abundant number, since it is smaller than the sum of its proper divisors (343031360).

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

115550400 is a wasteful number, since it uses less digits than its factorization.

115550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 115550400 is about 10749.4371945698. The cubic root of 115550400 is about 487.0689944652.

The spelling of 115550400 in words is "one hundred fifteen million, five hundred fifty thousand, four hundred".