30804400 has 60 divisors (see below), whose sum is σ = 80747064. Its totient is φ = 11200000.

The previous prime is 30804373. The next prime is 30804427. The reversal of 30804400 is 440803.

It is an interprime number because it is at equal distance from previous prime (30804373) and next prime (30804427).

It is a super-2 number, since 2×30804400² = 1897822118720000, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900 + ... + 7900.

Almost surely, 2^30804400 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 30804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40373532).

30804400 is an abundant number, since it is smaller than the sum of its proper divisors (49942664).

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

30804400 is a wasteful number, since it uses less digits than its factorization.

30804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 30804400 is about 5550.1711685317. The cubic root of 30804400 is about 313.4759674537.

The spelling of 30804400 in words is "thirty million, eight hundred four thousand, four hundred".