471888 has 60 divisors (see below), whose sum is σ = 1378260. Its totient is φ = 150528.

The previous prime is 471871. The next prime is 471893. The reversal of 471888 is 888174.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 374544 = 312^2 + 612^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471888.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4120 + ... + 4232.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2⁴⁷¹⁸⁸⁸ is an apocalyptic number.

471888 is a gapful number since it is divisible by the number (48) 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 471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689130).

471888 is an abundant number, since it is smaller than the sum of its proper divisors (906372).

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

471888 is a wasteful number, since it uses less digits than its factorization.

471888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 471888 is about 686.9410455054. The cubic root of 471888 is about 77.8537694179.

The spelling of 471888 in words is "four hundred seventy-one thousand, eight hundred eighty-eight".