4004880 has 160 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 921600.

The previous prime is 4004873. The next prime is 4004881. The reversal of 4004880 is 884004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4004880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97660 + ... + 97700.

Almost surely, 2^4004880 is an apocalyptic number.

4004880 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 4004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4004880 is an abundant number, since it is smaller than the sum of its proper divisors (10244208).

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

4004880 is a wasteful number, since it uses less digits than its factorization.

4004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4004880 is about 2001.2196281268. The cubic root of 4004880 is about 158.8046332720.

Adding to 4004880 its reverse (884004), we get a palindrome (4888884).

It can be divided in two parts, 4004 and 880, that added together give a palindrome (4884).

The spelling of 4004880 in words is "four million, four thousand, eight hundred eighty".