4004400 has 120 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 1030400.

The previous prime is 4004393. The next prime is 4004417. The reversal of 4004400 is 44004.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

4004400 is a modest number, since divided by 4400 gives 400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56365 + ... + 56435.

Almost surely, 2^4004400 is an apocalyptic number.

4004400 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 4004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

4004400 is an abundant number, since it is smaller than the sum of its proper divisors (9280464).

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

4004400 is a wasteful number, since it uses less digits than its factorization.

4004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4004400 is about 2001.0996976663. The cubic root of 4004400 is about 158.7982885734.

Adding to 4004400 its reverse (44004), we get a palindrome (4048404).

The spelling of 4004400 in words is "four million, four thousand, four hundred".