112456407 has 48 divisors (see below), whose sum is σ = 183472128. Its totient is φ = 59991360.

The previous prime is 112456381. The next prime is 112456423. The reversal of 112456407 is 704654211.

It is not a de Polignac number, because 112456407 - 2⁸ = 112456151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112456457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588682 + ... + 588872.

It is an arithmetic number, because the mean of its divisors is an integer number (3822336).

Almost surely, 2^112456407 is an apocalyptic number.

112456407 is a deficient number, since it is larger than the sum of its proper divisors (71015721).

112456407 is a wasteful number, since it uses less digits than its factorization.

112456407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 112456407 is about 10604.5465249581. The cubic root of 112456407 is about 482.6823307972.

The spelling of 112456407 in words is "one hundred twelve million, four hundred fifty-six thousand, four hundred seven".