473360 has 40 divisors (see below), whose sum is σ = 1130136. Its totient is φ = 184320.

The previous prime is 473353. The next prime is 473377. The reversal of 473360 is 63374.

473360 = 16² + 17² + ... + 112².

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 473344 = 4^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

473360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4832 + ... + 4928.

2⁴⁷³³⁶⁰ is an apocalyptic number.

473360 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 473360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565068).

473360 is an abundant number, since it is smaller than the sum of its proper divisors (656776).

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

473360 is a wasteful number, since it uses less digits than its factorization.

473360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 473360 is about 688.0116278087. The cubic root of 473360 is about 77.9346373310.

The spelling of 473360 in words is "four hundred seventy-three thousand, three hundred sixty".