4416360 has 128 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1022976.

The previous prime is 4416359. The next prime is 4416371. The reversal of 4416360 is 636144.

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 4416360.

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, 29566 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

Almost surely, 2^4416360 is an apocalyptic number.

4416360 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 4416360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

4416360 is an abundant number, since it is smaller than the sum of its proper divisors (10703640).

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

4416360 is a wasteful number, since it uses less digits than its factorization.

4416360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4416360 is about 2101.5137401407. The cubic root of 4416360 is about 164.0670952908.

The spelling of 4416360 in words is "four million, four hundred sixteen thousand, three hundred sixty".