112450464 has 96 divisors (see below), whose sum is σ = 374855040. Its totient is φ = 32126976.

The previous prime is 112450453. The next prime is 112450469. The reversal of 112450464 is 464054211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×112450464³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112450469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (3904740).

Almost surely, 2^112450464 is an apocalyptic number.

112450464 is a gapful number since it is divisible by the number (14) 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 112450464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187427520).

112450464 is an abundant number, since it is smaller than the sum of its proper divisors (262404576).

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

112450464 is a wasteful number, since it uses less digits than its factorization.

112450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18619 (or 18605 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 112450464 is about 10604.2663112542. The cubic root of 112450464 is about 482.6738278531.

The spelling of 112450464 in words is "one hundred twelve million, four hundred fifty thousand, four hundred sixty-four".