473205312 has 126 divisors (see below), whose sum is σ = 1418806662. Its totient is φ = 150779904.

The previous prime is 473205307. The next prime is 473205329. The reversal of 473205312 is 213502374.

It can be written as a sum of positive squares in only one way, i.e., 312016896 + 161188416 = 17664^2 + 12696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 303928 + ... + 305480.

Almost surely, 2^473205312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709403331).

473205312 is an abundant number, since it is smaller than the sum of its proper divisors (945601350).

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

473205312 is a wasteful number, since it uses less digits than its factorization.

473205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 473205312 is about 21753.2827867428. The cubic root of 473205312 is about 779.2614705822.

Adding to 473205312 its reverse (213502374), we get a palindrome (686707686).

The spelling of 473205312 in words is "four hundred seventy-three million, two hundred five thousand, three hundred twelve".