30045400 has 96 divisors (see below), whose sum is σ = 87137280. Its totient is φ = 9360000.

The previous prime is 30045391. The next prime is 30045467. The reversal of 30045400 is 454003.

It is a super-2 number, since 2×30045400² = 1805452122320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 14425 + ... + 16375.

It is an arithmetic number, because the mean of its divisors is an integer number (907680).

Almost surely, 2^30045400 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 30045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43568640).

30045400 is an abundant number, since it is smaller than the sum of its proper divisors (57091880).

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

30045400 is a wasteful number, since it uses less digits than its factorization.

30045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 30045400 is about 5481.3684422779. The cubic root of 30045400 is about 310.8799142114.

Adding to 30045400 its reverse (454003), we get a palindrome (30499403).

The spelling of 30045400 in words is "thirty million, forty-five thousand, four hundred".