471058560 has 288 divisors, whose sum is σ = 1893329100. Its totient is φ = 107606016.

The previous prime is 471058519. The next prime is 471058573. The reversal of 471058560 is 65850174.

471058560 is a `hidden beast` number, since 4 + 7 + 10 + 585 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 1382976 = 21672^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281406 + ... + 283074.

Almost surely, 2^471058560 is an apocalyptic number.

471058560 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 471058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946664550).

471058560 is an abundant number, since it is smaller than the sum of its proper divisors (1422270540).

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

471058560 is a wasteful number, since it uses less digits than its factorization.

471058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 471058560 is about 21703.8835234619. The cubic root of 471058560 is about 778.0812800713.

The spelling of 471058560 in words is "four hundred seventy-one million, fifty-eight thousand, five hundred sixty".