1004200000 has 84 divisors (see below), whose sum is σ = 2491223364. Its totient is φ = 401600000.

The previous prime is 1004199991. The next prime is 1004200039. The reversal of 1004200000 is 24001.

It can be written as a sum of positive squares in 6 ways, for example, as 619412544 + 384787456 = 24888^2 + 19616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197490 + ... + 202510.

It is an arithmetic number, because the mean of its divisors is an integer number (29657421).

Almost surely, 2^1004200000 is an apocalyptic number.

1004200000 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 1004200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245611682).

1004200000 is an abundant number, since it is smaller than the sum of its proper divisors (1487023364).

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

1004200000 is an frugal number, since it uses more digits than its factorization.

1004200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1004200000 is about 31689.1148503709. The cubic root of 1004200000 is about 1001.3980445606.

Adding to 1004200000 its reverse (24001), we get a palindrome (1004224001).

The spelling of 1004200000 in words is "one billion, four million, two hundred thousand".