1004445400 has 96 divisors (see below), whose sum is σ = 2719513440. Its totient is φ = 337858560.

The previous prime is 1004445389. The next prime is 1004445419. The reversal of 1004445400 is 45444001.

1004445400 = 338² + 339² + ... + 1450².

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, 67432 + ... + 80968.

It is an arithmetic number, because the mean of its divisors is an integer number (28328265).

Almost surely, 2^1004445400 is an apocalyptic number.

1004445400 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 1004445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359756720).

1004445400 is an abundant number, since it is smaller than the sum of its proper divisors (1715068040).

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

1004445400 is a wasteful number, since it uses less digits than its factorization.

1004445400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13613 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1004445400 is about 31692.9866058723. The cubic root of 1004445400 is about 1001.4796096755.

Adding to 1004445400 its reverse (45444001), we get a palindrome (1049889401).

The spelling of 1004445400 in words is "one billion, four million, four hundred forty-five thousand, four hundred".