471960 has 128 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 114048.

The previous prime is 471959. The next prime is 471997. The reversal of 471960 is 69174.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20509 + ... + 20531.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁴⁷¹⁹⁶⁰ is an apocalyptic number.

471960 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 471960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

471960 is an abundant number, since it is smaller than the sum of its proper divisors (1256040).

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

471960 is a wasteful number, since it uses less digits than its factorization.

471960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 471960 is about 686.9934497504. The cubic root of 471960 is about 77.8577288223.

It can be divided in two parts, 471 and 960, that added together give a triangular number (1431 = T₅₃).

The spelling of 471960 in words is "four hundred seventy-one thousand, nine hundred sixty".