471958080 has 336 divisors, whose sum is σ = 1751258880. Its totient is φ = 107233280.

The previous prime is 471958049. The next prime is 471958103. The reversal of 471958080 is 80859174.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974601 + ... + 1974839.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^471958080 is an apocalyptic number.

471958080 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 471958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

471958080 is an abundant number, since it is smaller than the sum of its proper divisors (1279300800).

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

471958080 is a wasteful number, since it uses less digits than its factorization.

471958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 471958080 is about 21724.5961987789. The cubic root of 471958080 is about 778.5762324344.

The spelling of 471958080 in words is "four hundred seventy-one million, nine hundred fifty-eight thousand, eighty".