47740480 has 56 divisors (see below), whose sum is σ = 114418872. Its totient is φ = 18972672.

The previous prime is 47740477. The next prime is 47740487. The reversal of 47740480 is 8404774.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 47444544 = 544^2 + 6888^2 .

It is not an unprimeable number, because it can be changed into a prime (47740487) 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 7 ways as a sum of consecutive naturals, for example, 61374 + ... + 62146.

Almost surely, 2^47740480 is an apocalyptic number.

47740480 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 47740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57209436).

47740480 is an abundant number, since it is smaller than the sum of its proper divisors (66678392).

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

47740480 is a wasteful number, since it uses less digits than its factorization.

47740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 47740480 is about 6909.4486031810. The cubic root of 47740480 is about 362.7679635821.

The spelling of 47740480 in words is "forty-seven million, seven hundred forty thousand, four hundred eighty".