480172032 has 144 divisors (see below), whose sum is σ = 1405404000. Its totient is φ = 157925376.

The previous prime is 480171983. The next prime is 480172073. The reversal of 480172032 is 230271084.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 480171987 and 480172005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008969 + ... + 2009207.

It is an arithmetic number, because the mean of its divisors is an integer number (9759750).

Almost surely, 2^480172032 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 480172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702702000).

480172032 is an abundant number, since it is smaller than the sum of its proper divisors (925231968).

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

480172032 is a wasteful number, since it uses less digits than its factorization.

480172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480172032 is about 21912.8280237855. The cubic root of 480172032 is about 783.0670562987.

The spelling of 480172032 in words is "four hundred eighty million, one hundred seventy-two thousand, thirty-two".