473932900 has 81 divisors (see below), whose sum is σ = 1200201177. Its totient is φ = 161968800.

The previous prime is 473932897. The next prime is 473932909. The reversal of 473932900 is 9239374.

The square root of 473932900 is 21770.

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

It can be written as a sum of positive squares in only one way, i.e., 170615844 + 303317056 = 13062^2 + 17416^2 .

It is a super-2 number, since 2×473932900² = 449224787404820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 473932900.

It is not an unprimeable number, because it can be changed into a prime (473932909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1523745 + ... + 1524055.

Almost surely, 2^473932900 is an apocalyptic number.

473932900 is the 21770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473932900

473932900 is an abundant number, since it is smaller than the sum of its proper divisors (726268277).

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

473932900 is a wasteful number, since it uses less digits than its factorization.

473932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The cubic root of 473932900 is about 779.6606566836.

The spelling of 473932900 in words is "four hundred seventy-three million, nine hundred thirty-two thousand, nine hundred".