30300480 has 280 divisors, whose sum is σ = 123919488. Its totient is φ = 6884352.

The previous prime is 30300467. The next prime is 30300503. The reversal of 30300480 is 8400303.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181357 + ... + 181523.

Almost surely, 2^30300480 is an apocalyptic number.

30300480 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 30300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61959744).

30300480 is an abundant number, since it is smaller than the sum of its proper divisors (93619008).

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

30300480 is a wasteful number, since it uses less digits than its factorization.

30300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30300480 is about 5504.5871779817. The cubic root of 30300480 is about 311.7572075623.

Adding to 30300480 its reverse (8400303), we get a palindrome (38700783).

The spelling of 30300480 in words is "thirty million, three hundred thousand, four hundred eighty".