112909440 has 256 divisors, whose sum is σ = 426147840. Its totient is φ = 24883200.

The previous prime is 112909417. The next prime is 112909469. The reversal of 112909440 is 44909211.

It is a super-2 number, since 2×112909440² = 25497083282227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112909398 and 112909407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416505 + ... + 416775.

It is an arithmetic number, because the mean of its divisors is an integer number (1664640).

Almost surely, 2^112909440 is an apocalyptic number.

112909440 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 112909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213073920).

112909440 is an abundant number, since it is smaller than the sum of its proper divisors (313238400).

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

112909440 is a wasteful number, since it uses less digits than its factorization.

112909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 112909440 is about 10625.8853748758. The cubic root of 112909440 is about 483.3296276635.

The spelling of 112909440 in words is "one hundred twelve million, nine hundred nine thousand, four hundred forty".