111974400 has 288 divisors, whose sum is σ = 416379600. Its totient is φ = 29859840.

The previous prime is 111974399. The next prime is 111974407. The reversal of 111974400 is 4479111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (3!)³.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111974407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22394878 + ... + 22394882.

Almost surely, 2^111974400 is an apocalyptic number.

111974400 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 111974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208189800).

111974400 is an abundant number, since it is smaller than the sum of its proper divisors (304405200).

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

111974400 is an frugal number, since it uses more digits than its factorization.

111974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 111974400 is about 10581.7956888233. The cubic root of 111974400 is about 481.9917240592.

The spelling of 111974400 in words is "one hundred eleven million, nine hundred seventy-four thousand, four hundred".