471980 has 12 divisors (see below), whose sum is σ = 991200. Its totient is φ = 188784.

The previous prime is 471959. The next prime is 471997. The reversal of 471980 is 89174.

471980 = T₄₃₂ + T₄₃₃ + ... + T₄₃₆.

It is a congruent number.

It is an unprimeable number.

471980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 11780 + ... + 11819.

It is an arithmetic number, because the mean of its divisors is an integer number (82600).

2⁴⁷¹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

471980 is an abundant number, since it is smaller than the sum of its proper divisors (519220).

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

471980 is a wasteful number, since it uses less digits than its factorization.

471980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23608 (or 23606 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 471980 is about 687.0080057758. The cubic root of 471980 is about 77.8588285854.

Subtracting from 471980 its product of nonzero digits (2016), we obtain a palindrome (469964).

The spelling of 471980 in words is "four hundred seventy-one thousand, nine hundred eighty".