4382880 has 96 divisors (see below), whose sum is σ = 14442624. Its totient is φ = 1115136.

The previous prime is 4382879. The next prime is 4382881. The reversal of 4382880 is 882834.

It is an interprime number because it is at equal distance from previous prime (4382879) and next prime (4382881).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4382881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10842 + ... + 11238.

It is an arithmetic number, because the mean of its divisors is an integer number (150444).

Almost surely, 2^4382880 is an apocalyptic number.

4382880 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 4382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221312).

4382880 is an abundant number, since it is smaller than the sum of its proper divisors (10059744).

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

4382880 is a wasteful number, since it uses less digits than its factorization.

4382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4382880 is about 2093.5328991922. The cubic root of 4382880 is about 163.6514509097.

The spelling of 4382880 in words is "four million, three hundred eighty-two thousand, eight hundred eighty".