112358400 has 528 divisors, whose sum is σ = 487349760. Its totient is φ = 22118400.

The previous prime is 112358387. The next prime is 112358437. The reversal of 112358400 is 4853211.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5913591 + ... + 5913609.

Almost surely, 2^112358400 is an apocalyptic number.

112358400 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 112358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243674880).

112358400 is an abundant number, since it is smaller than the sum of its proper divisors (374991360).

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

112358400 is a wasteful number, since it uses less digits than its factorization.

112358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 112358400 is about 10599.9245280332. The cubic root of 112358400 is about 482.5420690497.

The spelling of 112358400 in words is "one hundred twelve million, three hundred fifty-eight thousand, four hundred".