1004284200 has 48 divisors (see below), whose sum is σ = 3113282880. Its totient is φ = 267808960.

The previous prime is 1004284199. The next prime is 1004284201. The reversal of 1004284200 is 24824001.

1004284200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1004284199) and next prime (1004284201).

It is not an unprimeable number, because it can be changed into a prime (1004284201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836304 + ... + 837503.

It is an arithmetic number, because the mean of its divisors is an integer number (64860060).

Almost surely, 2^1004284200 is an apocalyptic number.

1004284200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004284200 is an abundant number, since it is smaller than the sum of its proper divisors (2108998680).

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

1004284200 is a wasteful number, since it uses less digits than its factorization.

1004284200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673826 (or 1673817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1004284200 is about 31690.4433544247. The cubic root of 1004284200 is about 1001.4260321324.

The spelling of 1004284200 in words is "one billion, four million, two hundred eighty-four thousand, two hundred".