471350880 has 768 divisors, whose sum is σ = 2235340800. Its totient is φ = 89579520.

The previous prime is 471350851. The next prime is 471350897. The reversal of 471350880 is 88053174.

471350880 is a `hidden beast` number, since 4 + 71 + 3 + 508 + 80 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4324266 + ... + 4324374.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^471350880 is an apocalyptic number.

471350880 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 471350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117670400).

471350880 is an abundant number, since it is smaller than the sum of its proper divisors (1763989920).

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

471350880 is a wasteful number, since it uses less digits than its factorization.

471350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 471350880 is about 21710.6167577064. The cubic root of 471350880 is about 778.2421954413.

The spelling of 471350880 in words is "four hundred seventy-one million, three hundred fifty thousand, eight hundred eighty".