473613200 has 120 divisors (see below), whose sum is σ = 1213973640. Its totient is φ = 177561600.

The previous prime is 473613197. The next prime is 473613227. The reversal of 473613200 is 2316374.

It can be written as a sum of positive squares in 12 ways, for example, as 56310016 + 417303184 = 7504^2 + 20428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 473613200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965080 + ... + 1965320.

It is an arithmetic number, because the mean of its divisors is an integer number (10116447).

Almost surely, 2^473613200 is an apocalyptic number.

473613200 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 473613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606986820).

473613200 is an abundant number, since it is smaller than the sum of its proper divisors (740360440).

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

473613200 is a wasteful number, since it uses less digits than its factorization.

473613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 473613200 is about 21762.6560878952. The cubic root of 473613200 is about 779.4853058551.

Adding to 473613200 its reverse (2316374), we get a palindrome (475929574).

The spelling of 473613200 in words is "four hundred seventy-three million, six hundred thirteen thousand, two hundred".