30456800 has 72 divisors (see below), whose sum is σ = 81135432. Its totient is φ = 11072000.

The previous prime is 30456781. The next prime is 30456847. The reversal of 30456800 is 865403.

It is a self number, because there is not a number n which added to its sum of digits gives 30456800.

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 11 ways as a sum of consecutive naturals, for example, 7070 + ... + 10530.

It is an arithmetic number, because the mean of its divisors is an integer number (1126881).

Almost surely, 2^30456800 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 30456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40567716).

30456800 is an abundant number, since it is smaller than the sum of its proper divisors (50678632).

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

30456800 is a wasteful number, since it uses less digits than its factorization.

30456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 30456800 is about 5518.7679784532. The cubic root of 30456800 is about 312.2924061258.

The spelling of 30456800 in words is "thirty million, four hundred fifty-six thousand, eight hundred".