30004800 has 336 divisors, whose sum is σ = 120944640. Its totient is φ = 6359040.

The previous prime is 30004789. The next prime is 30004823. The reversal of 30004800 is 840003.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30004800.

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 47 ways as a sum of consecutive naturals, for example, 638377 + ... + 638423.

Almost surely, 2^30004800 is an apocalyptic number.

30004800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

30004800 is an abundant number, since it is smaller than the sum of its proper divisors (90939840).

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

30004800 is a wasteful number, since it uses less digits than its factorization.

30004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30004800 is about 5477.6637355719. The cubic root of 30004800 is about 310.7398216183.

Adding to 30004800 its reverse (840003), we get a palindrome (30844803).

The spelling of 30004800 in words is "thirty million, four thousand, eight hundred".