30082400 has 72 divisors (see below), whose sum is σ = 75870144. Its totient is φ = 11635200.

The previous prime is 30082399. The next prime is 30082411. The reversal of 30082400 is 428003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24194 + ... + 25406.

It is an arithmetic number, because the mean of its divisors is an integer number (1053752).

Almost surely, 2^30082400 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 30082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37935072).

30082400 is an abundant number, since it is smaller than the sum of its proper divisors (45787744).

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

30082400 is a wasteful number, since it uses less digits than its factorization.

30082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 30082400 is about 5484.7424734439. The cubic root of 30082400 is about 311.0074749292.

The spelling of 30082400 in words is "thirty million, eighty-two thousand, four hundred".