47459952 has 80 divisors (see below), whose sum is σ = 138537760. Its totient is φ = 15552000.

The previous prime is 47459911. The next prime is 47459969. The reversal of 47459952 is 25995474.

47459952 is a `hidden beast` number, since 4 + 7 + 4 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47459898 and 47459907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25452 + ... + 27252.

It is an arithmetic number, because the mean of its divisors is an integer number (1731722).

Almost surely, 2^47459952 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 47459952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69268880).

47459952 is an abundant number, since it is smaller than the sum of its proper divisors (91077808).

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

47459952 is a wasteful number, since it uses less digits than its factorization.

47459952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 47459952 is about 6889.1183761059. The cubic root of 47459952 is about 362.0560132284.

The spelling of 47459952 in words is "forty-seven million, four hundred fifty-nine thousand, nine hundred fifty-two".