4364880 has 80 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 1073664.

The previous prime is 4364873. The next prime is 4364891. The reversal of 4364880 is 884634.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^4364880 is an apocalyptic number.

4364880 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 4364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

4364880 is an abundant number, since it is smaller than the sum of its proper divisors (10217520).

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

4364880 is a wasteful number, since it uses less digits than its factorization.

4364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4364880 is about 2089.2295230539. The cubic root of 4364880 is about 163.4271107550.

The spelling of 4364880 in words is "four million, three hundred sixty-four thousand, eight hundred eighty".