481561938 has 96 divisors (see below), whose sum is σ = 1246295232. Its totient is φ = 132451200.

The previous prime is 481561921. The next prime is 481561961. The reversal of 481561938 is 839165184.

481561938 is a `hidden beast` number, since 4 + 81 + 561 + 9 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 481561893 and 481561902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155481 + ... + 158547.

It is an arithmetic number, because the mean of its divisors is an integer number (12982242).

Almost surely, 2^481561938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481561938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623147616).

481561938 is an abundant number, since it is smaller than the sum of its proper divisors (764733294).

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

481561938 is a wasteful number, since it uses less digits than its factorization.

481561938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3157 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 481561938 is about 21944.5195436127. The cubic root of 481561938 is about 783.8218837786.

The spelling of 481561938 in words is "four hundred eighty-one million, five hundred sixty-one thousand, nine hundred thirty-eight".