1112672400 has 360 divisors, whose sum is σ = 4206873600. Its totient is φ = 250629120.

The previous prime is 1112672383. The next prime is 1112672401. The reversal of 1112672400 is 42762111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112672401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7467526 + ... + 7467674.

It is an arithmetic number, because the mean of its divisors is an integer number (11685760).

Almost surely, 2^1112672400 is an apocalyptic number.

1112672400 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 1112672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103436800).

1112672400 is an abundant number, since it is smaller than the sum of its proper divisors (3094201200).

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

1112672400 is a wasteful number, since it uses less digits than its factorization.

1112672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1112672400 is about 33356.7444454641. The cubic root of 1112672400 is about 1036.2290703593.

The spelling of 1112672400 in words is "one billion, one hundred twelve million, six hundred seventy-two thousand, four hundred".