471611520 has 192 divisors, whose sum is σ = 1669089240. Its totient is φ = 122634240.

The previous prime is 471611477. The next prime is 471611549. The reversal of 471611520 is 25116174.

It is a happy number.

471611520 is a `hidden beast` number, since 47 + 1 + 611 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113039424 + 358572096 = 10632^2 + 18936^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235162 + ... + 237158.

Almost surely, 2^471611520 is an apocalyptic number.

471611520 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 471611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834544620).

471611520 is an abundant number, since it is smaller than the sum of its proper divisors (1197477720).

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

471611520 is a wasteful number, since it uses less digits than its factorization.

471611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 471611520 is about 21716.6185213076. The cubic root of 471611520 is about 778.3856156109.

Adding to 471611520 its reverse (25116174), we get a palindrome (496727694).

The spelling of 471611520 in words is "four hundred seventy-one million, six hundred eleven thousand, five hundred twenty".