112904480 has 192 divisors, whose sum is σ = 317011968. Its totient is φ = 37601280.

The previous prime is 112904417. The next prime is 112904503. The reversal of 112904480 is 84409211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096109 + ... + 1096211.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^112904480 is an apocalyptic number.

112904480 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 112904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

112904480 is an abundant number, since it is smaller than the sum of its proper divisors (204107488).

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

112904480 is a wasteful number, since it uses less digits than its factorization.

112904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 112904480 is about 10625.6519799963. The cubic root of 112904480 is about 483.3225501624.

It can be divided in two parts, 1129044 and 80, that multiplied together give a triangular number (90323520 = T₁₃₄₄₀).

The spelling of 112904480 in words is "one hundred twelve million, nine hundred four thousand, four hundred eighty".