115460800 has 252 divisors, whose sum is σ = 357353616. Its totient is φ = 35942400.

The previous prime is 115460789. The next prime is 115460819. The reversal of 115460800 is 8064511.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1892770 + ... + 1892830.

Almost surely, 2^115460800 is an apocalyptic number.

115460800 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 115460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178676808).

115460800 is an abundant number, since it is smaller than the sum of its proper divisors (241892816).

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

115460800 is a wasteful number, since it uses less digits than its factorization.

115460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 115460800 is about 10745.2687262813. The cubic root of 115460800 is about 486.9430676925.

The spelling of 115460800 in words is "one hundred fifteen million, four hundred sixty thousand, eight hundred".