47280900 has 72 divisors (see below), whose sum is σ = 137741184. Its totient is φ = 12521600.

The previous prime is 47280899. The next prime is 47280901. The reversal of 47280900 is 908274.

It is an interprime number because it is at equal distance from previous prime (47280899) and next prime (47280901).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47280901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51445 + ... + 52355.

It is an arithmetic number, because the mean of its divisors is an integer number (1913072).

Almost surely, 2^47280900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68870592).

47280900 is an abundant number, since it is smaller than the sum of its proper divisors (90460284).

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

47280900 is a wasteful number, since it uses less digits than its factorization.

47280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 47280900 is about 6876.1108193513. The cubic root of 47280900 is about 361.6001302797.

The spelling of 47280900 in words is "forty-seven million, two hundred eighty thousand, nine hundred".