471975 has 48 divisors (see below), whose sum is σ = 952320. Its totient is φ = 201600.

The previous prime is 471959. The next prime is 471997. The reversal of 471975 is 579174.

It is not a de Polignac number, because 471975 - 2⁴ = 471959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15210 + ... + 15240.

It is an arithmetic number, because the mean of its divisors is an integer number (19840).

2⁴⁷¹⁹⁷⁵ is an apocalyptic number.

471975 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

471975 is a wasteful number, since it uses less digits than its factorization.

471975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 471975 is about 687.0043667983. The cubic root of 471975 is about 77.8585536476.

The spelling of 471975 in words is "four hundred seventy-one thousand, nine hundred seventy-five".