471771216 has 600 divisors, whose sum is σ = 1847292480. Its totient is φ = 114960384.

The previous prime is 471771203. The next prime is 471771227. The reversal of 471771216 is 612177174.

It is a super-2 number, since 2×471771216² = 445136160492237312, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20511781 + ... + 20511803.

Almost surely, 2^471771216 is an apocalyptic number.

471771216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471771216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923646240).

471771216 is an abundant number, since it is smaller than the sum of its proper divisors (1375521264).

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

471771216 is a wasteful number, since it uses less digits than its factorization.

471771216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 471771216 is about 21720.2950256206. The cubic root of 471771216 is about 778.4734640737.

The spelling of 471771216 in words is "four hundred seventy-one million, seven hundred seventy-one thousand, two hundred sixteen".