30245600 has 144 divisors (see below), whose sum is σ = 92244096. Its totient is φ = 9408000.

The previous prime is 30245599. The next prime is 30245603. The reversal of 30245600 is 654203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30245603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61355 + ... + 61845.

It is an arithmetic number, because the mean of its divisors is an integer number (640584).

Almost surely, 2^30245600 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 30245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46122048).

30245600 is an abundant number, since it is smaller than the sum of its proper divisors (61998496).

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

30245600 is a wasteful number, since it uses less digits than its factorization.

30245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 30245600 is about 5499.5999854535. The cubic root of 30245600 is about 311.5688763837.

Adding to 30245600 its reverse (654203), we get a palindrome (30899803).

The spelling of 30245600 in words is "thirty million, two hundred forty-five thousand, six hundred".