471688416 has 72 divisors (see below), whose sum is σ = 1399703760. Its totient is φ = 150391296.

The previous prime is 471688411. The next prime is 471688447. The reversal of 471688416 is 614886174.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471688411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28981 + ... + 42228.

It is an arithmetic number, because the mean of its divisors is an integer number (19440330).

Almost surely, 2^471688416 is an apocalyptic number.

471688416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

471688416 is an abundant number, since it is smaller than the sum of its proper divisors (928015344).

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

471688416 is a wasteful number, since it uses less digits than its factorization.

471688416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71248 (or 71237 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 471688416 is about 21718.3888905232. The cubic root of 471688416 is about 778.4279184279.

The spelling of 471688416 in words is "four hundred seventy-one million, six hundred eighty-eight thousand, four hundred sixteen".