4404408 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1372800.

The previous prime is 4404397. The next prime is 4404419. The reversal of 4404408 is 8044044.

It is an interprime number because it is at equal distance from previous prime (4404397) and next prime (4404419).

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

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, 43558 + ... + 43658.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^4404408 is an apocalyptic number.

4404408 is the 1212-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4404408 is an abundant number, since it is smaller than the sum of its proper divisors (7345992).

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

4404408 is a wasteful number, since it uses less digits than its factorization.

4404408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4404408 is about 2098.6681490888. The cubic root of 4404408 is about 163.9189565866.

The spelling of 4404408 in words is "four million, four hundred four thousand, four hundred eight".