471631680 has 672 divisors, whose sum is σ = 2008022400. Its totient is φ = 103514112.

The previous prime is 471631673. The next prime is 471631691. The reversal of 471631680 is 86136174.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24822711 + ... + 24822729.

Almost surely, 2^471631680 is an apocalyptic number.

471631680 is a gapful number since it is divisible by the number (40) 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 471631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004011200).

471631680 is an abundant number, since it is smaller than the sum of its proper divisors (1536390720).

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

471631680 is a wasteful number, since it uses less digits than its factorization.

471631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 471631680 is about 21717.0826770080. The cubic root of 471631680 is about 778.3967066818.

The spelling of 471631680 in words is "four hundred seventy-one million, six hundred thirty-one thousand, six hundred eighty".