473013200 has 180 divisors, whose sum is σ = 1296023820. Its totient is φ = 165580800.

The previous prime is 473013157. The next prime is 473013223. The reversal of 473013200 is 2310374.

It can be written as a sum of positive squares in 6 ways, for example, as 28815424 + 444197776 = 5368^2 + 21076^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1403432 + ... + 1403768.

Almost surely, 2^473013200 is an apocalyptic number.

473013200 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 473013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648011910).

473013200 is an abundant number, since it is smaller than the sum of its proper divisors (823010620).

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

473013200 is a wasteful number, since it uses less digits than its factorization.

473013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 473013200 is about 21748.8666371377. The cubic root of 473013200 is about 779.1560013919.

Adding to 473013200 its reverse (2310374), we get a palindrome (475323574).

The spelling of 473013200 in words is "four hundred seventy-three million, thirteen thousand, two hundred".