4412160 has 108 divisors (see below), whose sum is σ = 15305472. Its totient is φ = 1173504.

The previous prime is 4412141. The next prime is 4412183. The reversal of 4412160 is 612144.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 11329 + ... + 11711.

Almost surely, 2^4412160 is an apocalyptic number.

4412160 is a gapful number since it is divisible by the number (40) 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 4412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736).

4412160 is an abundant number, since it is smaller than the sum of its proper divisors (10893312).

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

4412160 is a wasteful number, since it uses less digits than its factorization.

4412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4412160 is about 2100.5142227559. The cubic root of 4412160 is about 164.0150690100.

It can be divided in two parts, 441 and 2160, that added together give a square (2601 = 51²).

The spelling of 4412160 in words is "four million, four hundred twelve thousand, one hundred sixty".