471456216 has 192 divisors, whose sum is σ = 1602881280. Its totient is φ = 121616640.

The previous prime is 471456211. The next prime is 471456217. The reversal of 471456216 is 612654174.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471456211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535535 + ... + 1535841.

It is an arithmetic number, because the mean of its divisors is an integer number (8348340).

Almost surely, 2^471456216 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 471456216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801440640).

471456216 is an abundant number, since it is smaller than the sum of its proper divisors (1131425064).

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

471456216 is a wasteful number, since it uses less digits than its factorization.

471456216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 471456216 is about 21713.0425320820. The cubic root of 471456216 is about 778.3001641560.

It can be divided in two parts, 47145 and 6216, that added together give a square (53361 = 231²).

The spelling of 471456216 in words is "four hundred seventy-one million, four hundred fifty-six thousand, two hundred sixteen".