30480 has 40 divisors (see below), whose sum is σ = 95232. Its totient is φ = 8064.

The previous prime is 30469. The next prime is 30491. The reversal of 30480 is 8403.

It is an interprime number because it is at equal distance from previous prime (30469) and next prime (30491).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 303.

2³⁰⁴⁸⁰ is an apocalyptic number.

30480 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 30480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616).

30480 is an abundant number, since it is smaller than the sum of its proper divisors (64752).

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

30480 is a wasteful number, since it uses less digits than its factorization.

30480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

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

The square root of 30480 is about 174.5852227424. The cubic root of 30480 is about 31.2371680650.

Adding to 30480 its reverse (8403), we get a palindrome (38883).

It can be divided in two parts, 30 and 480, that multiplied together give a square (14400 = 120²).

The spelling of 30480 in words is "thirty thousand, four hundred eighty".