473344 has 27 divisors (see below), whose sum is σ = 967323. Its totient is φ = 231168.

The previous prime is 473327. The next prime is 473351. The reversal of 473344 is 443374.

The square root of 473344 is 688.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

473344 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 2 ways as a sum of consecutive naturals, for example, 10987 + ... + 11029.

2⁴⁷³³⁴⁴ is an apocalyptic number.

473344 is the 688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473344

473344 is an abundant number, since it is smaller than the sum of its proper divisors (493979).

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

473344 is an frugal number, since it uses more digits than its factorization.

473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its digits is 4032, while the sum is 25.

The cubic root of 473344 is about 77.9337592339.

Multiplying 473344 by its sum of digits (25), we get a square (11833600 = 3440²).

The spelling of 473344 in words is "four hundred seventy-three thousand, three hundred forty-four", and thus it is an iban number.