30024000 has 224 divisors, whose sum is σ = 110947200. Its totient is φ = 7948800.

The previous prime is 30023999. The next prime is 30024011. The reversal of 30024000 is 42003.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215931 + ... + 216069.

It is an arithmetic number, because the mean of its divisors is an integer number (495300).

Almost surely, 2^30024000 is an apocalyptic number.

30024000 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 30024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600).

30024000 is an abundant number, since it is smaller than the sum of its proper divisors (80923200).

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

30024000 is a wasteful number, since it uses less digits than its factorization.

30024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30024000 is about 5479.4160272788. The cubic root of 30024000 is about 310.8060880428.

Adding to 30024000 its reverse (42003), we get a palindrome (30066003).

The spelling of 30024000 in words is "thirty million, twenty-four thousand".