30004200 has 144 divisors (see below), whose sum is σ = 102523200. Its totient is φ = 7862400.

The previous prime is 30004199. The next prime is 30004207. The reversal of 30004200 is 240003.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30004207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142095 + ... + 142305.

Almost surely, 2^30004200 is an apocalyptic number.

30004200 is a gapful number since it is divisible by the number (30) 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 30004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51261600).

30004200 is an abundant number, since it is smaller than the sum of its proper divisors (72519000).

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

30004200 is a wasteful number, since it uses less digits than its factorization.

30004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30004200 is about 5477.6089674237. The cubic root of 30004200 is about 310.7377503371.

Adding to 30004200 its reverse (240003), we get a palindrome (30244203).

The spelling of 30004200 in words is "thirty million, four thousand, two hundred".