473446800 has 180 divisors, whose sum is σ = 1652074320. Its totient is φ = 125556480.

The previous prime is 473446793. The next prime is 473446867. The reversal of 473446800 is 8644374.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 1249011 + ... + 1249389.

Almost surely, 2^473446800 is an apocalyptic number.

473446800 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 473446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826037160).

473446800 is an abundant number, since it is smaller than the sum of its proper divisors (1178627520).

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

473446800 is a wasteful number, since it uses less digits than its factorization.

473446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 473446800 is about 21758.8326892782. The cubic root of 473446800 is about 779.3940066344.

The spelling of 473446800 in words is "four hundred seventy-three million, four hundred forty-six thousand, eight hundred".