473232672 has 384 divisors, whose sum is σ = 1665619200. Its totient is φ = 129024000.

The previous prime is 473232649. The next prime is 473232703. The reversal of 473232672 is 276232374.

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

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 63 ways as a sum of consecutive naturals, for example, 4685422 + ... + 4685522.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^473232672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

473232672 is an abundant number, since it is smaller than the sum of its proper divisors (1192386528).

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

473232672 is a wasteful number, since it uses less digits than its factorization.

473232672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 473232672 is about 21753.9116482531. The cubic root of 473232672 is about 779.2764888575.

The spelling of 473232672 in words is "four hundred seventy-three million, two hundred thirty-two thousand, six hundred seventy-two".