481709984 has 144 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 196439040.

The previous prime is 481709971. The next prime is 481709989. The reversal of 481709984 is 489907184.

It is not an unprimeable number, because it can be changed into a prime (481709989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3792929 + ... + 3793055.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^481709984 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 481709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

481709984 is an abundant number, since it is smaller than the sum of its proper divisors (676602976).

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

481709984 is a wasteful number, since it uses less digits than its factorization.

481709984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 481709984 is about 21947.8924728549. The cubic root of 481709984 is about 783.9021986845.

The spelling of 481709984 in words is "four hundred eighty-one million, seven hundred nine thousand, nine hundred eighty-four".