47972480 has 64 divisors (see below), whose sum is σ = 119707200. Its totient is φ = 18349056.

The previous prime is 47972437. The next prime is 47972489. The reversal of 47972480 is 8427974.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (47972489) 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, 13091 + ... + 16349.

It is an arithmetic number, because the mean of its divisors is an integer number (1870425).

Almost surely, 2^47972480 is an apocalyptic number.

47972480 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 47972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59853600).

47972480 is an abundant number, since it is smaller than the sum of its proper divisors (71734720).

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

47972480 is a wasteful number, since it uses less digits than its factorization.

47972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 47972480 is about 6926.2168605957. The cubic root of 47972480 is about 363.3546509016.

The spelling of 47972480 in words is "forty-seven million, nine hundred seventy-two thousand, four hundred eighty".