471888720 has 320 divisors, whose sum is σ = 1754887680. Its totient is φ = 116121600.

The previous prime is 471888709. The next prime is 471888743. The reversal of 471888720 is 27888174.

471888720 is a `hidden beast` number, since 471 + 88 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2607030 + ... + 2607210.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^471888720 is an apocalyptic number.

471888720 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 471888720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

471888720 is an abundant number, since it is smaller than the sum of its proper divisors (1282998960).

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

471888720 is a wasteful number, since it uses less digits than its factorization.

471888720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 471888720 is about 21722.9997928463. Note that the first 3 decimals coincide. The cubic root of 471888720 is about 778.5380901392.

The spelling of 471888720 in words is "four hundred seventy-one million, eight hundred eighty-eight thousand, seven hundred twenty".