471984000 has 128 divisors (see below), whose sum is σ = 1564786080. Its totient is φ = 125849600.

The previous prime is 471983987. The next prime is 471984041. The reversal of 471984000 is 489174.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43084 + ... + 52916.

Almost surely, 2^471984000 is an apocalyptic number.

471984000 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 471984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782393040).

471984000 is an abundant number, since it is smaller than the sum of its proper divisors (1092802080).

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

471984000 is an equidigital number, since it uses as much as digits as its factorization.

471984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 471984000 is about 21725.1927494326. The cubic root of 471984000 is about 778.5904853432.

The spelling of 471984000 in words is "four hundred seventy-one million, nine hundred eighty-four thousand".