30284800 has 198 divisors, whose sum is σ = 92901048. Its totient is φ = 9584640.

The previous prime is 30284789. The next prime is 30284819. The reversal of 30284800 is 848203.

It is a super-2 number, since 2×30284800² = 1834338222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2329594 + ... + 2329606.

Almost surely, 2^30284800 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 30284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46450524).

30284800 is an abundant number, since it is smaller than the sum of its proper divisors (62616248).

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

30284800 is a wasteful number, since it uses less digits than its factorization.

30284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 30284800 is about 5503.1627270143. The cubic root of 30284800 is about 311.7034218745.

The spelling of 30284800 in words is "thirty million, two hundred eighty-four thousand, eight hundred".