47407984 has 40 divisors (see below), whose sum is σ = 99368640. Its totient is φ = 21781248.

The previous prime is 47407967. The next prime is 47407993. The reversal of 47407984 is 48970474.

47407984 = 108² + 109² + ... + 523².

It is a happy number.

47407984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47407984.

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, 65577 + ... + 66295.

It is an arithmetic number, because the mean of its divisors is an integer number (2484216).

Almost surely, 2^47407984 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 47407984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49684320).

47407984 is an abundant number, since it is smaller than the sum of its proper divisors (51960656).

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

47407984 is a wasteful number, since it uses less digits than its factorization.

47407984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 47407984 is about 6885.3455977169. The cubic root of 47407984 is about 361.9238161669.

The spelling of 47407984 in words is "forty-seven million, four hundred seven thousand, nine hundred eighty-four".