112859460 has 192 divisors, whose sum is σ = 407769600. Its totient is φ = 25380864.

The previous prime is 112859441. The next prime is 112859501. The reversal of 112859460 is 64958211.

112859460 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 594 + 60 = 666.

It is a super-3 number, since 3×112859460³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275736 + ... + 276144.

It is an arithmetic number, because the mean of its divisors is an integer number (2123800).

Almost surely, 2^112859460 is an apocalyptic number.

112859460 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 112859460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203884800).

112859460 is an abundant number, since it is smaller than the sum of its proper divisors (294910140).

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

112859460 is a wasteful number, since it uses less digits than its factorization.

112859460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112859460 is about 10623.5333105328. The cubic root of 112859460 is about 483.2583009434.

The spelling of 112859460 in words is "one hundred twelve million, eight hundred fifty-nine thousand, four hundred sixty".