112466400 has 72 divisors (see below), whose sum is σ = 366085944. Its totient is φ = 29990400.

The previous prime is 112466399. The next prime is 112466413. The reversal of 112466400 is 4664211.

It is a super-2 number, since 2×112466400² = 25297382257920000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21031 + ... + 25830.

It is an arithmetic number, because the mean of its divisors is an integer number (5084527).

Almost surely, 2^112466400 is an apocalyptic number.

112466400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112466400 is an abundant number, since it is smaller than the sum of its proper divisors (253619544).

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

112466400 is a wasteful number, since it uses less digits than its factorization.

112466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46884 (or 46871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 112466400 is about 10605.0176803247. The cubic root of 112466400 is about 482.6966276014.

The spelling of 112466400 in words is "one hundred twelve million, four hundred sixty-six thousand, four hundred".