4466112 has 56 divisors (see below), whose sum is σ = 13508736. Its totient is φ = 1275648.

The previous prime is 4466093. The next prime is 4466129. The reversal of 4466112 is 2116644.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 3005.

Almost surely, 2^4466112 is an apocalyptic number.

4466112 is a gapful number since it is divisible by the number (42) 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 4466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754368).

4466112 is an abundant number, since it is smaller than the sum of its proper divisors (9042624).

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

4466112 is a wasteful number, since it uses less digits than its factorization.

4466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3335 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4466112 is about 2113.3177707103. The cubic root of 4466112 is about 164.6808892048.

The spelling of 4466112 in words is "four million, four hundred sixty-six thousand, one hundred twelve".