47984080 has 40 divisors (see below), whose sum is σ = 113677992. Its totient is φ = 18829824.

The previous prime is 47984071. The next prime is 47984099. The reversal of 47984080 is 8048974.

47984080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22014864 + 25969216 = 4692^2 + 5096^2 .

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 (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1419 + ... + 9898.

Almost surely, 2^47984080 is an apocalyptic number.

47984080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47984080 is an abundant number, since it is smaller than the sum of its proper divisors (65693912).

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

47984080 is a wasteful number, since it uses less digits than its factorization.

47984080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 47984080 is about 6927.0542079588. The cubic root of 47984080 is about 363.3839355683.

The spelling of 47984080 in words is "forty-seven million, nine hundred eighty-four thousand, eighty".