471661872 has 180 divisors, whose sum is σ = 1427778408. Its totient is φ = 134041600.

The previous prime is 471661831. The next prime is 471661901. The reversal of 471661872 is 278166174.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1678372 + ... + 1678652.

Almost surely, 2^471661872 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 471661872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713889204).

471661872 is an abundant number, since it is smaller than the sum of its proper divisors (956116536).

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

471661872 is a wasteful number, since it uses less digits than its factorization.

471661872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 471661872 is about 21717.7777868731. Note that the first 4 decimals coincide. The cubic root of 471661872 is about 778.4133162897.

The spelling of 471661872 in words is "four hundred seventy-one million, six hundred sixty-one thousand, eight hundred seventy-two".