481640832 has 96 divisors (see below), whose sum is σ = 1395323280. Its totient is φ = 159464448.

The previous prime is 481640779. The next prime is 481640833. The reversal of 481640832 is 238046184.

481640832 is a `hidden beast` number, since 4 + 8 + 1 + 640 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481640833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179533 + ... + 182195.

Almost surely, 2^481640832 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 481640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697661640).

481640832 is an abundant number, since it is smaller than the sum of its proper divisors (913682448).

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

481640832 is a wasteful number, since it uses less digits than its factorization.

481640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 481640832 is about 21946.3170486531. The cubic root of 481640832 is about 783.8646857958.

The spelling of 481640832 in words is "four hundred eighty-one million, six hundred forty thousand, eight hundred thirty-two".