473672320 has 128 divisors (see below), whose sum is σ = 1256705280. Its totient is φ = 169267200.

The previous prime is 473672279. The next prime is 473672321. The reversal of 473672320 is 23276374.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473672321) by changing a digit.

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, 428889 + ... + 429991.

It is an arithmetic number, because the mean of its divisors is an integer number (9818010).

Almost surely, 2^473672320 is an apocalyptic number.

473672320 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 473672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628352640).

473672320 is an abundant number, since it is smaller than the sum of its proper divisors (783032960).

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

473672320 is a wasteful number, since it uses less digits than its factorization.

473672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 473672320 is about 21764.0143355954. The cubic root of 473672320 is about 779.5177382662.

The spelling of 473672320 in words is "four hundred seventy-three million, six hundred seventy-two thousand, three hundred twenty".