1004119200 has 576 divisors, whose sum is σ = 4312224000. Its totient is φ = 220631040.

The previous prime is 1004119199. The next prime is 1004119217. The reversal of 1004119200 is 29114001.

1004119200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4384686 + ... + 4384914.

It is an arithmetic number, because the mean of its divisors is an integer number (7486500).

Almost surely, 2^1004119200 is an apocalyptic number.

1004119200 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 1004119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156112000).

1004119200 is an abundant number, since it is smaller than the sum of its proper divisors (3308104800).

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

1004119200 is a wasteful number, since it uses less digits than its factorization.

1004119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1004119200 is about 31687.8399390050. The cubic root of 1004119200 is about 1001.3711856572.

It can be divided in two parts, 10041 and 19200, that added together give a square (29241 = 171²).

The spelling of 1004119200 in words is "one billion, four million, one hundred nineteen thousand, two hundred".