471608000 has 112 divisors (see below), whose sum is σ = 1178259264. Its totient is φ = 186982400.

The previous prime is 471607993. The next prime is 471608003. The reversal of 471608000 is 806174.

It is not an unprimeable number, because it can be changed into a prime (471608003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1335824 + ... + 1336176.

It is an arithmetic number, because the mean of its divisors is an integer number (10520172).

Almost surely, 2^471608000 is an apocalyptic number.

471608000 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 471608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589129632).

471608000 is an abundant number, since it is smaller than the sum of its proper divisors (706651264).

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

471608000 is a wasteful number, since it uses less digits than its factorization.

471608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 471608000 is about 21716.5374772315. The cubic root of 471608000 is about 778.3836790423.

The spelling of 471608000 in words is "four hundred seventy-one million, six hundred eight thousand".