472181216 has 48 divisors (see below), whose sum is σ = 1006806528. Its totient is φ = 216691200.

The previous prime is 472181173. The next prime is 472181221. The reversal of 472181216 is 612181274.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72161 + ... + 78431.

It is an arithmetic number, because the mean of its divisors is an integer number (20975136).

Almost surely, 2^472181216 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 472181216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503403264).

472181216 is an abundant number, since it is smaller than the sum of its proper divisors (534625312).

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

472181216 is a wasteful number, since it uses less digits than its factorization.

472181216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6467 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 472181216 is about 21729.7311534220. The cubic root of 472181216 is about 778.6989135381.

The spelling of 472181216 in words is "four hundred seventy-two million, one hundred eighty-one thousand, two hundred sixteen".