471609216 has 160 divisors (see below), whose sum is σ = 1511895000. Its totient is φ = 145069056.

The previous prime is 471609209. The next prime is 471609217. The reversal of 471609216 is 612906174.

471609216 is a `hidden beast` number, since 47 + 1 + 609 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×471609216² = 444830505232269312, which contains 22 as substring.

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 (471609217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133035 + ... + 136533.

Almost surely, 2^471609216 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 471609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755947500).

471609216 is an abundant number, since it is smaller than the sum of its proper divisors (1040285784).

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

471609216 is a wasteful number, since it uses less digits than its factorization.

471609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 471609216 is about 21716.5654743102. The cubic root of 471609216 is about 778.3843480398.

The spelling of 471609216 in words is "four hundred seventy-one million, six hundred nine thousand, two hundred sixteen".