471648000 has 288 divisors, whose sum is σ = 1664470080. Its totient is φ = 118374400.

The previous prime is 471647993. The next prime is 471648019. The reversal of 471648000 is 846174.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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 31 ways as a sum of consecutive naturals, for example, 27743992 + ... + 27744008.

It is an arithmetic number, because the mean of its divisors is an integer number (5779410).

Almost surely, 2^471648000 is an apocalyptic number.

471648000 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 471648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832235040).

471648000 is an abundant number, since it is smaller than the sum of its proper divisors (1192822080).

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

471648000 is an frugal number, since it uses more digits than its factorization.

471648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 471648000 is about 21717.4584148330. The cubic root of 471648000 is about 778.4056849363.

The spelling of 471648000 in words is "four hundred seventy-one million, six hundred forty-eight thousand".