1004200 has 24 divisors (see below), whose sum is σ = 2335230. Its totient is φ = 401600.

The previous prime is 1004167. The next prime is 1004209. The reversal of 1004200 is 24001.

1004200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 917764 + 86436 = 958^2 + 294^2 .

It is not an unprimeable number, because it can be changed into a prime (1004209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2311 + ... + 2710.

2^1004200 is an apocalyptic number.

1004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004200 is an abundant number, since it is smaller than the sum of its proper divisors (1331030).

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

1004200 is a wasteful number, since it uses less digits than its factorization.

1004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5028 counting only the distinct ones).

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

The square root of 1004200 is about 1002.0977996184. The cubic root of 1004200 is about 100.1398044561.

Adding to 1004200 its reverse (24001), we get a palindrome (1028201).

The spelling of 1004200 in words is "one million, four thousand, two hundred".