473655200 has 144 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 180096000.

The previous prime is 473655197. The next prime is 473655209. The reversal of 473655200 is 2556374.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (473655209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760666 + ... + 1760934.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^473655200 is an apocalyptic number.

473655200 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 473655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

473655200 is an abundant number, since it is smaller than the sum of its proper divisors (741267040).

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

473655200 is a wasteful number, since it uses less digits than its factorization.

473655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 473655200 is about 21763.6210222472. The cubic root of 473655200 is about 779.5083467495.

The spelling of 473655200 in words is "four hundred seventy-three million, six hundred fifty-five thousand, two hundred".