30330400 has 72 divisors (see below), whose sum is σ = 76495104. Its totient is φ = 11731200.

The previous prime is 30330389. The next prime is 30330407. The reversal of 30330400 is 403303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30330407) 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, 24189 + ... + 25411.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^30330400 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 30330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247552).

30330400 is an abundant number, since it is smaller than the sum of its proper divisors (46164704).

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

30330400 is a wasteful number, since it uses less digits than its factorization.

30330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 30330400 is about 5507.3042407334. The cubic root of 30330400 is about 311.8597879737.

Adding to 30330400 its reverse (403303), we get a palindrome (30733703).

It can be divided in two parts, 303 and 30400, that added together give a palindrome (30703).

The spelling of 30330400 in words is "thirty million, three hundred thirty thousand, four hundred".