473648000 has 128 divisors (see below), whose sum is σ = 1346155200. Its totient is φ = 162355200.

The previous prime is 473647961. The next prime is 473648027. The reversal of 473648000 is 846374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109886 + ... + 114114.

Almost surely, 2^473648000 is an apocalyptic number.

473648000 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 473648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673077600).

473648000 is an abundant number, since it is smaller than the sum of its proper divisors (872507200).

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

473648000 is an equidigital number, since it uses as much as digits as its factorization.

473648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 473648000 is about 21763.4556079681. The cubic root of 473648000 is about 779.5043969786.

The spelling of 473648000 in words is "four hundred seventy-three million, six hundred forty-eight thousand".