471163680 has 144 divisors (see below), whose sum is σ = 1731595320. Its totient is φ = 115974144.

The previous prime is 471163669. The next prime is 471163703. The reversal of 471163680 is 86361174.

471163680 is a `hidden beast` number, since 4 + 7 + 11 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 240002064 = 15204^2 + 15492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×471163680² = 443990426702284800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 6136 + ... + 31304.

Almost surely, 2^471163680 is an apocalyptic number.

471163680 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 471163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865797660).

471163680 is an abundant number, since it is smaller than the sum of its proper divisors (1260431640).

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

471163680 is a wasteful number, since it uses less digits than its factorization.

471163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25203 (or 25192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 471163680 is about 21706.3050747934. The cubic root of 471163680 is about 778.1391538530.

The spelling of 471163680 in words is "four hundred seventy-one million, one hundred sixty-three thousand, six hundred eighty".