473104800 has 540 divisors, whose sum is σ = 2020476150. Its totient is φ = 107412480.

The previous prime is 473104787. The next prime is 473104831. The reversal of 473104800 is 8401374.

It can be written as a sum of positive squares in 3 ways, for example, as 252047376 + 221057424 = 15876^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 89 ways as a sum of consecutive naturals, for example, 3175126 + ... + 3175274.

Almost surely, 2^473104800 is an apocalyptic number.

473104800 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 473104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010238075).

473104800 is an abundant number, since it is smaller than the sum of its proper divisors (1547371350).

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

473104800 is a wasteful number, since it uses less digits than its factorization.

473104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 473104800 is about 21750.9723920564. The cubic root of 473104800 is about 779.2062932112.

The spelling of 473104800 in words is "four hundred seventy-three million, one hundred four thousand, eight hundred".