47406216 has 128 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 12545280.

The previous prime is 47406187. The next prime is 47406257. The reversal of 47406216 is 61260474.

47406216 = 429² + 430² + ... + 604².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64845 + ... + 65571.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^47406216 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 47406216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

47406216 is an abundant number, since it is smaller than the sum of its proper divisors (99358584).

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

47406216 is a wasteful number, since it uses less digits than its factorization.

47406216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47406216 is about 6885.2172079027. The cubic root of 47406216 is about 361.9193170002.

The spelling of 47406216 in words is "forty-seven million, four hundred six thousand, two hundred sixteen".