30048480 has 288 divisors, whose sum is σ = 128314368. Its totient is φ = 6220800.

The previous prime is 30048467. The next prime is 30048527. The reversal of 30048480 is 8484003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30048480² = 1805822300620800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110745 + ... + 111015.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 2^30048480 is an apocalyptic number.

30048480 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 30048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184).

30048480 is an abundant number, since it is smaller than the sum of its proper divisors (98265888).

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

30048480 is a wasteful number, since it uses less digits than its factorization.

30048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30048480 is about 5481.6493868178. The cubic root of 30048480 is about 310.8905367739.

The spelling of 30048480 in words is "thirty million, forty-eight thousand, four hundred eighty".