481442900832 has 144 divisors (see below), whose sum is σ = 1373771363328. Its totient is φ = 159934790400.

The previous prime is 481442900803. The next prime is 481442900839. The reversal of 481442900832 is 238009244184.

481442900832 is a `hidden beast` number, since 48 + 1 + 442 + 90 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481442900839) 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 23 ways as a sum of consecutive naturals, for example, 125015707 + ... + 125019557.

It is an arithmetic number, because the mean of its divisors is an integer number (9540078912).

Almost surely, 2^481442900832 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 481442900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686885681664).

481442900832 is an abundant number, since it is smaller than the sum of its proper divisors (892328462496).

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

481442900832 is a wasteful number, since it uses less digits than its factorization.

481442900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 481442900832 in words is "four hundred eighty-one billion, four hundred forty-two million, nine hundred thousand, eight hundred thirty-two".