1004404100 has 72 divisors (see below), whose sum is σ = 2544003840. Its totient is φ = 337029120.

The previous prime is 1004404069. The next prime is 1004404151. The reversal of 1004404100 is 14044001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 17636 + ... + 48164.

Almost surely, 2^1004404100 is an apocalyptic number.

1004404100 is a gapful number since it is divisible by the number (10) 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 1004404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272001920).

1004404100 is an abundant number, since it is smaller than the sum of its proper divisors (1539599740).

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

1004404100 is a wasteful number, since it uses less digits than its factorization.

1004404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30597 (or 30590 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1004404100 is about 31692.3350354624. The cubic root of 1004404100 is about 1001.4658834690.

Adding to 1004404100 its reverse (14044001), we get a palindrome (1018448101).

The spelling of 1004404100 in words is "one billion, four million, four hundred four thousand, one hundred".