481688032 has 72 divisors (see below), whose sum is σ = 1114876224. Its totient is φ = 204244992.

The previous prime is 481688029. The next prime is 481688033. The reversal of 481688032 is 230886184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481688033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150513 + ... + 153679.

It is an arithmetic number, because the mean of its divisors is an integer number (15484392).

Almost surely, 2^481688032 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 481688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557438112).

481688032 is an abundant number, since it is smaller than the sum of its proper divisors (633188192).

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

481688032 is a wasteful number, since it uses less digits than its factorization.

481688032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 481688032 is about 21947.3923735828. The cubic root of 481688032 is about 783.8902907710.

The spelling of 481688032 in words is "four hundred eighty-one million, six hundred eighty-eight thousand, thirty-two".