4472160 has 192 divisors, whose sum is σ = 17708544. Its totient is φ = 929280.

The previous prime is 4472159. The next prime is 4472197. The reversal of 4472160 is 612744.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4472160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406555 + ... + 406565.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

Almost surely, 2^4472160 is an apocalyptic number.

4472160 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 4472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854272).

4472160 is an abundant number, since it is smaller than the sum of its proper divisors (13236384).

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

4472160 is a wasteful number, since it uses less digits than its factorization.

4472160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4472160 is about 2114.7482119628. The cubic root of 4472160 is about 164.7551925188.

The spelling of 4472160 in words is "four million, four hundred seventy-two thousand, one hundred sixty".