47484864 has 84 divisors (see below), whose sum is σ = 155563824. Its totient is φ = 13565952.

The previous prime is 47484863. The next prime is 47484887. The reversal of 47484864 is 46848474.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47484863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857 + ... + 9920.

Almost surely, 2^47484864 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 47484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77781912).

47484864 is an abundant number, since it is smaller than the sum of its proper divisors (108078960).

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

47484864 is a wasteful number, since it uses less digits than its factorization.

47484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11802 (or 11789 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 47484864 is about 6890.9262077024. The cubic root of 47484864 is about 362.1193505711.

The spelling of 47484864 in words is "forty-seven million, four hundred eighty-four thousand, eight hundred sixty-four".