471599856 has 480 divisors, whose sum is σ = 1803634560. Its totient is φ = 111476736.

The previous prime is 471599851. The next prime is 471599923. The reversal of 471599856 is 658995174.

471599856 is a `hidden beast` number, since 47 + 1 + 599 + 8 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2721600) is a multiple of the sum of its prime divisors (144).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471599851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6460236 + ... + 6460308.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572).

Almost surely, 2^471599856 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 471599856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901817280).

471599856 is an abundant number, since it is smaller than the sum of its proper divisors (1332034704).

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

471599856 is a wasteful number, since it uses less digits than its factorization.

471599856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 471599856 is about 21716.3499695506. The cubic root of 471599856 is about 778.3791984898.

The spelling of 471599856 in words is "four hundred seventy-one million, five hundred ninety-nine thousand, eight hundred fifty-six".