480831984 has 80 divisors (see below), whose sum is σ = 1382967040. Its totient is φ = 159952320.

The previous prime is 480831973. The next prime is 480831991. The reversal of 480831984 is 489138084.

480831984 is a `hidden beast` number, since 480 + 83 + 1 + 98 + 4 = 666.

It is a super-3 number, since 3×480831984³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313299 + ... + 314829.

It is an arithmetic number, because the mean of its divisors is an integer number (17287088).

Almost surely, 2^480831984 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 480831984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691483520).

480831984 is an abundant number, since it is smaller than the sum of its proper divisors (902135056).

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

480831984 is a wasteful number, since it uses less digits than its factorization.

480831984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 480831984 is about 21927.8814298144. The cubic root of 480831984 is about 783.4256431229.

The spelling of 480831984 in words is "four hundred eighty million, eight hundred thirty-one thousand, nine hundred eighty-four".