30048000 has 144 divisors (see below), whose sum is σ = 100123296. Its totient is φ = 7987200.

The previous prime is 30047971. The next prime is 30048001. The reversal of 30048000 is 84003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30048001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95844 + ... + 96156.

Almost surely, 2^30048000 is an apocalyptic number.

30048000 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 30048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50061648).

30048000 is an abundant number, since it is smaller than the sum of its proper divisors (70075296).

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

30048000 is an equidigital number, since it uses as much as digits as its factorization.

30048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

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

The square root of 30048000 is about 5481.6056042003. The cubic root of 30048000 is about 310.8888813573. Note that the first 5 decimals are identical.

The spelling of 30048000 in words is "thirty million, forty-eight thousand".