4382480 has 40 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 1691648.

The previous prime is 4382471. The next prime is 4382503. The reversal of 4382480 is 842834.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 3936256 = 668^2 + 1984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4382480² = 38412261900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376 + ... + 3264.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 2^4382480 is an apocalyptic number.

4382480 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 4382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273100).

4382480 is an abundant number, since it is smaller than the sum of its proper divisors (6163720).

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

4382480 is a wasteful number, since it uses less digits than its factorization.

4382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4382480 is about 2093.4373647186. The cubic root of 4382480 is about 163.6464722524.

The spelling of 4382480 in words is "four million, three hundred eighty-two thousand, four hundred eighty".