4384980 has 72 divisors (see below), whose sum is σ = 14093352. Its totient is φ = 1099776.

The previous prime is 4384979. The next prime is 4384987. The reversal of 4384980 is 894834.

It can be written as a sum of positive squares in 4 ways, for example, as 1602756 + 2782224 = 1266^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4384987) 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, 2344 + ... + 3776.

It is an arithmetic number, because the mean of its divisors is an integer number (195741).

Almost surely, 2^4384980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4384980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046676).

4384980 is an abundant number, since it is smaller than the sum of its proper divisors (9708372).

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

4384980 is a wasteful number, since it uses less digits than its factorization.

4384980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4384980 is about 2094.0343836719. The cubic root of 4384980 is about 163.6775838918.

The spelling of 4384980 in words is "four million, three hundred eighty-four thousand, nine hundred eighty".