30468400 has 90 divisors (see below), whose sum is σ = 77621892. Its totient is φ = 11491200.

The previous prime is 30468397. The next prime is 30468401. The reversal of 30468400 is 486403.

30468400 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30468401) 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 17 ways as a sum of consecutive naturals, for example, 144295 + ... + 144505.

Almost surely, 2^30468400 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 30468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38810946).

30468400 is an abundant number, since it is smaller than the sum of its proper divisors (47153492).

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

30468400 is a wasteful number, since it uses less digits than its factorization.

30468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 30468400 is about 5519.8188376069. The cubic root of 30468400 is about 312.3320484181.

It can be divided in two parts, 304 and 68400, that multiplied together give a square (20793600 = 4560²).

The spelling of 30468400 in words is "thirty million, four hundred sixty-eight thousand, four hundred".