112474800 has 180 divisors, whose sum is σ = 394778800. Its totient is φ = 29652480.

The previous prime is 112474763. The next prime is 112474819. The reversal of 112474800 is 8474211.

112474800 is a `hidden beast` number, since 112 + 474 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 565101 + ... + 565299.

Almost surely, 2^112474800 is an apocalyptic number.

112474800 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 112474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197389400).

112474800 is an abundant number, since it is smaller than the sum of its proper divisors (282304000).

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

112474800 is a wasteful number, since it uses less digits than its factorization.

112474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112474800 is about 10605.4137118738. The cubic root of 112474800 is about 482.7086446741.

The spelling of 112474800 in words is "one hundred twelve million, four hundred seventy-four thousand, eight hundred".