4412880 has 120 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1171584.

The previous prime is 4412867. The next prime is 4412893. The reversal of 4412880 is 882144.

It is an interprime number because it is at equal distance from previous prime (4412867) and next prime (4412893).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19327 + ... + 19553.

Almost surely, 2^4412880 is an apocalyptic number.

4412880 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 4412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

4412880 is an abundant number, since it is smaller than the sum of its proper divisors (11023632).

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

4412880 is a wasteful number, since it uses less digits than its factorization.

4412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4412880 is about 2100.6856023689. The cubic root of 4412880 is about 164.0239901451.

It can be divided in two parts, 441 and 2880, that added together give a triangular number (3321 = T₈₁).

The spelling of 4412880 in words is "four million, four hundred twelve thousand, eight hundred eighty".