473817600 has 300 divisors, whose sum is σ = 1757471034. Its totient is φ = 126074880.

The previous prime is 473817593. The next prime is 473817623. The reversal of 473817600 is 6718374.

473817600 is a `hidden beast` number, since 4 + 7 + 38 + 17 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 424030464 + 49787136 = 20592^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036572 + ... + 1037028.

Almost surely, 2^473817600 is an apocalyptic number.

473817600 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 473817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878735517).

473817600 is an abundant number, since it is smaller than the sum of its proper divisors (1283653434).

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

473817600 is an equidigital number, since it uses as much as digits as its factorization.

473817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 473817600 is about 21767.3516992766. The cubic root of 473817600 is about 779.5974253945.

Adding to 473817600 its product of nonzero digits (28224), we get a square (473845824 = 21768²).

The spelling of 473817600 in words is "four hundred seventy-three million, eight hundred seventeen thousand, six hundred".