112449600 has 336 divisors, whose sum is σ = 434644800. Its totient is φ = 28200960.

The previous prime is 112449563. The next prime is 112449607. The reversal of 112449600 is 6944211.

112449600 is a `hidden beast` number, since 1 + 12 + 4 + 49 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112449607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820732 + ... + 820868.

Almost surely, 2^112449600 is an apocalyptic number.

112449600 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 112449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217322400).

112449600 is an abundant number, since it is smaller than the sum of its proper divisors (322195200).

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

112449600 is a wasteful number, since it uses less digits than its factorization.

112449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112449600 is about 10604.2255728554. The cubic root of 112449600 is about 482.6725916607.

The spelling of 112449600 in words is "one hundred twelve million, four hundred forty-nine thousand, six hundred".