112284480 has 448 divisors, whose sum is σ = 468172800. Its totient is φ = 22579200.

The previous prime is 112284479. The next prime is 112284503. The reversal of 112284480 is 84482211.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3622065 + ... + 3622095.

Almost surely, 2^112284480 is an apocalyptic number.

112284480 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 112284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

112284480 is an abundant number, since it is smaller than the sum of its proper divisors (355888320).

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

112284480 is a wasteful number, since it uses less digits than its factorization.

112284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 112284480 is about 10596.4371370758. The cubic root of 112284480 is about 482.4362252058.

The spelling of 112284480 in words is "one hundred twelve million, two hundred eighty-four thousand, four hundred eighty".