471360 has 56 divisors (see below), whose sum is σ = 1499616. Its totient is φ = 125440.

The previous prime is 471353. The next prime is 471389. The reversal of 471360 is 63174.

It is a congruent number.

It is an unprimeable number.

471360 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715 + ... + 1205.

2⁴⁷¹³⁶⁰ is an apocalyptic number.

471360 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 471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749808).

471360 is an abundant number, since it is smaller than the sum of its proper divisors (1028256).

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

471360 is a wasteful number, since it uses less digits than its factorization.

471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 471360 is about 686.5566254869. The cubic root of 471360 is about 77.8247214719.

The spelling of 471360 in words is "four hundred seventy-one thousand, three hundred sixty".