30046400 has 84 divisors (see below), whose sum is σ = 75117960. Its totient is φ = 11827200.

The previous prime is 30046369. The next prime is 30046411. The reversal of 30046400 is 464003.

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, 142295 + ... + 142505.

Almost surely, 2^30046400 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 30046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558980).

30046400 is an abundant number, since it is smaller than the sum of its proper divisors (45071560).

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

30046400 is a wasteful number, since it uses less digits than its factorization.

30046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 30046400 is about 5481.4596596162. The cubic root of 30046400 is about 310.8833631749.

The spelling of 30046400 in words is "thirty million, forty-six thousand, four hundred".