47280 has 40 divisors (see below), whose sum is σ = 147312. Its totient is φ = 12544.

The previous prime is 47279. The next prime is 47287. The reversal of 47280 is 8274.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (47287) by changing a digit.

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, 142 + ... + 338.

2⁴⁷²⁸⁰ is an apocalyptic number.

47280 is a gapful number since it is divisible by the number (40) 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 47280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656).

47280 is an abundant number, since it is smaller than the sum of its proper divisors (100032).

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

47280 is a wasteful number, since it uses less digits than its factorization.

47280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 47280 is about 217.4396467988. The cubic root of 47280 is about 36.1597835892.

The spelling of 47280 in words is "forty-seven thousand, two hundred eighty".