30413000 has 64 divisors (see below), whose sum is σ = 75394800. Its totient is φ = 11443200.

The previous prime is 30412999. The next prime is 30413003. The reversal of 30413000 is 31403.

It can be written as a sum of positive squares in 8 ways, for example, as 9746884 + 20666116 = 3122^2 + 4546^2 .

It is not an unprimeable number, because it can be changed into a prime (30413003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16106 + ... + 17894.

Almost surely, 2^30413000 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 30413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37697400).

30413000 is an abundant number, since it is smaller than the sum of its proper divisors (44981800).

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

30413000 is a wasteful number, since it uses less digits than its factorization.

30413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 30413000 is about 5514.7982737359. The cubic root of 30413000 is about 312.1426314765.

Adding to 30413000 its reverse (31403), we get a palindrome (30444403).

The spelling of 30413000 in words is "thirty million, four hundred thirteen thousand".