47905416 has 144 divisors (see below), whose sum is σ = 146165760. Its totient is φ = 14152320.

The previous prime is 47905409. The next prime is 47905421. The reversal of 47905416 is 61450974.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377145 + ... + 377271.

It is an arithmetic number, because the mean of its divisors is an integer number (1015040).

Almost surely, 2^47905416 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 47905416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73082880).

47905416 is an abundant number, since it is smaller than the sum of its proper divisors (98260344).

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

47905416 is a wasteful number, since it uses less digits than its factorization.

47905416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 47905416 is about 6921.3738520615. The cubic root of 47905416 is about 363.1852525273.

The spelling of 47905416 in words is "forty-seven million, nine hundred five thousand, four hundred sixteen".