473800320 has 256 divisors, whose sum is σ = 1918252800. Its totient is φ = 108269568.

The previous prime is 473800247. The next prime is 473800333. The reversal of 473800320 is 23008374.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119002 + ... + 122918.

It is an arithmetic number, because the mean of its divisors is an integer number (7493175).

Almost surely, 2^473800320 is an apocalyptic number.

473800320 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 473800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959126400).

473800320 is an abundant number, since it is smaller than the sum of its proper divisors (1444452480).

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

473800320 is a wasteful number, since it uses less digits than its factorization.

473800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 473800320 is about 21766.9547709366. The cubic root of 473800320 is about 779.5879480434.

Adding to 473800320 its reverse (23008374), we get a palindrome (496808694).

The spelling of 473800320 in words is "four hundred seventy-three million, eight hundred thousand, three hundred twenty".