112464800 has 216 divisors, whose sum is σ = 338415840. Its totient is φ = 36288000.

The previous prime is 112464791. The next prime is 112464851. The reversal of 112464800 is 8464211.

It is a self number, because there is not a number n which added to its sum of digits gives 112464800.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 744725 + ... + 744875.

It is an arithmetic number, because the mean of its divisors is an integer number (1566740).

Almost surely, 2^112464800 is an apocalyptic number.

112464800 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 112464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

112464800 is an abundant number, since it is smaller than the sum of its proper divisors (225951040).

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

112464800 is a wasteful number, since it uses less digits than its factorization.

112464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 112464800 is about 10604.9422440672. The cubic root of 112464800 is about 482.6943385673.

The spelling of 112464800 in words is "one hundred twelve million, four hundred sixty-four thousand, eight hundred".