30413600 has 72 divisors (see below), whose sum is σ = 84869568. Its totient is φ = 10425600.

The previous prime is 30413597. The next prime is 30413609. The reversal of 30413600 is 631403.

It is not an unprimeable number, because it can be changed into a prime (30413609) 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, 2885 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (1178744).

Almost surely, 2^30413600 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 30413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42434784).

30413600 is an abundant number, since it is smaller than the sum of its proper divisors (54455968).

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

30413600 is a wasteful number, since it uses less digits than its factorization.

30413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 30413600 is about 5514.8526725562. The cubic root of 30413600 is about 312.1446841552.

It can be divided in two parts, 30413 and 600, that added together give a palindrome (31013).

The spelling of 30413600 in words is "thirty million, four hundred thirteen thousand, six hundred".