4415880 has 96 divisors (see below), whose sum is σ = 15431040. Its totient is φ = 1008000.

The previous prime is 4415819. The next prime is 4415881. The reversal of 4415880 is 885144.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4415881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505 + ... + 6255.

It is an arithmetic number, because the mean of its divisors is an integer number (160740).

Almost surely, 2^4415880 is an apocalyptic number.

4415880 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 4415880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715520).

4415880 is an abundant number, since it is smaller than the sum of its proper divisors (11015160).

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

4415880 is a wasteful number, since it uses less digits than its factorization.

4415880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4415880 is about 2101.3995336442. The cubic root of 4415880 is about 164.0611511000.

The spelling of 4415880 in words is "four million, four hundred fifteen thousand, eight hundred eighty".