30240400 has 120 divisors (see below), whose sum is σ = 80262720. Its totient is φ = 10897920.

The previous prime is 30240389. The next prime is 30240401. The reversal of 30240400 is 404203.

It is not an unprimeable number, because it can be changed into a prime (30240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174714 + ... + 174886.

It is an arithmetic number, because the mean of its divisors is an integer number (668856).

Almost surely, 2^30240400 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 30240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40131360).

30240400 is an abundant number, since it is smaller than the sum of its proper divisors (50022320).

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

30240400 is a wasteful number, since it uses less digits than its factorization.

30240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 30240400 is about 5499.1272034751. The cubic root of 30240400 is about 311.5510197807.

Adding to 30240400 its reverse (404203), we get a palindrome (30644603).

The spelling of 30240400 in words is "thirty million, two hundred forty thousand, four hundred".