482088672 has 288 divisors, whose sum is σ = 1618081920. Its totient is φ = 139968000.

The previous prime is 482088667. The next prime is 482088683. The reversal of 482088672 is 276880284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920547 + ... + 1920797.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^482088672 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 482088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809040960).

482088672 is an abundant number, since it is smaller than the sum of its proper divisors (1135993248).

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

482088672 is a wasteful number, since it uses less digits than its factorization.

482088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 482088672 is about 21956.5177566936. The cubic root of 482088672 is about 784.1075619464.

The spelling of 482088672 in words is "four hundred eighty-two million, eighty-eight thousand, six hundred seventy-two".