471840 has 48 divisors (see below), whose sum is σ = 1487808. Its totient is φ = 125696.

The previous prime is 471817. The next prime is 471841. The reversal of 471840 is 48174.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 471840.

It is not an unprimeable number, because it can be changed into a prime (471841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2⁴⁷¹⁸⁴⁰ is an apocalyptic number.

471840 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 471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743904).

471840 is an abundant number, since it is smaller than the sum of its proper divisors (1015968).

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

471840 is a wasteful number, since it uses less digits than its factorization.

471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 471840 is about 686.9061071209. The cubic root of 471840 is about 77.8511295912.

The spelling of 471840 in words is "four hundred seventy-one thousand, eight hundred forty".