1004400000 has 480 divisors, whose sum is σ = 3856628160. Its totient is φ = 259200000.

The previous prime is 1004399989. The next prime is 1004400017. The reversal of 1004400000 is 44001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399985 + ... + 32400015.

It is an arithmetic number, because the mean of its divisors is an integer number (8034642).

Almost surely, 2^1004400000 is an apocalyptic number.

1004400000 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 1004400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928314080).

1004400000 is an abundant number, since it is smaller than the sum of its proper divisors (2852228160).

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

1004400000 is an frugal number, since it uses more digits than its factorization.

1004400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1004400000 is about 31692.2703509862. The cubic root of 1004400000 is about 1001.4645207985.

Adding to 1004400000 its reverse (44001), we get a palindrome (1004444001).

The spelling of 1004400000 in words is "one billion, four million, four hundred thousand".