30413200 has 60 divisors (see below), whose sum is σ = 73727920. Its totient is φ = 12055680.

The previous prime is 30413189. The next prime is 30413209. The reversal of 30413200 is 231403.

It is not an unprimeable number, because it can be changed into a prime (30413209) 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, 55327 + ... + 55873.

Almost surely, 2^30413200 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 30413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36863960).

30413200 is an abundant number, since it is smaller than the sum of its proper divisors (43314720).

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

30413200 is a wasteful number, since it uses less digits than its factorization.

30413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30413200 is about 5514.8164067356. The cubic root of 30413200 is about 312.1433157058.

Adding to 30413200 its reverse (231403), we get a palindrome (30644603).

It can be divided in two parts, 3041 and 3200, that added together give a square (6241 = 79²).

The spelling of 30413200 in words is "thirty million, four hundred thirteen thousand, two hundred".