481775616 has 156 divisors (see below), whose sum is σ = 1591281952. Its totient is φ = 137576448.

The previous prime is 481775611. The next prime is 481775663. The reversal of 481775616 is 616577184.

481775616 is a `hidden beast` number, since 4 + 81 + 7 + 7 + 561 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481775611) 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, 257115 + ... + 258981.

Almost surely, 2^481775616 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 481775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795640976).

481775616 is an abundant number, since it is smaller than the sum of its proper divisors (1109506336).

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

481775616 is a wasteful number, since it uses less digits than its factorization.

481775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1879 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 481775616 is about 21949.3875996575. The cubic root of 481775616 is about 783.9377987581.

The spelling of 481775616 in words is "four hundred eighty-one million, seven hundred seventy-five thousand, six hundred sixteen".