30399200 has 144 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 10782720.

The previous prime is 30399199. The next prime is 30399203. The reversal of 30399200 is 299303.

It is a super-2 number, since 2×30399200² = 1848222721280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 30399200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30399203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384761 + ... + 384839.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^30399200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

30399200 is an abundant number, since it is smaller than the sum of its proper divisors (52720480).

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

30399200 is a wasteful number, since it uses less digits than its factorization.

30399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 30399200 is about 5513.5469527338. The cubic root of 30399200 is about 312.0954124145.

The spelling of 30399200 in words is "thirty million, three hundred ninety-nine thousand, two hundred".