4405104 has 120 divisors (see below), whose sum is σ = 14082432. Its totient is φ = 1321920.

The previous prime is 4405097. The next prime is 4405111. The reversal of 4405104 is 4015044.

It is an interprime number because it is at equal distance from previous prime (4405097) and next prime (4405111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42717 + ... + 42819.

Almost surely, 2^4405104 is an apocalyptic number.

4405104 is a gapful number since it is divisible by the number (44) 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 4405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041216).

4405104 is an abundant number, since it is smaller than the sum of its proper divisors (9677328).

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

4405104 is a wasteful number, since it uses less digits than its factorization.

4405104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4405104 is about 2098.8339619894. The cubic root of 4405104 is about 163.9275904813.

The spelling of 4405104 in words is "four million, four hundred five thousand, one hundred four".