471260160 has 352 divisors, whose sum is σ = 1917957120. Its totient is φ = 107495424.

The previous prime is 471260159. The next prime is 471260183. The reversal of 471260160 is 61062174.

471260160 is a `hidden beast` number, since 47 + 12 + 601 + 6 + 0 = 666.

It is a super-2 number, since 2×471260160² = 444172276806451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 967437 + ... + 967923.

Almost surely, 2^471260160 is an apocalyptic number.

471260160 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 471260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958978560).

471260160 is an abundant number, since it is smaller than the sum of its proper divisors (1446696960).

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

471260160 is a wasteful number, since it uses less digits than its factorization.

471260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 471260160 is about 21708.5273567785. The cubic root of 471260160 is about 778.1922633101.

The spelling of 471260160 in words is "four hundred seventy-one million, two hundred sixty thousand, one hundred sixty".