481355008 has 54 divisors (see below), whose sum is σ = 977165882. Its totient is φ = 236651520.

The previous prime is 481355003. The next prime is 481355041. The reversal of 481355008 is 800553184.

It can be written as a sum of positive squares in only one way, i.e., 418120704 + 63234304 = 20448^2 + 7952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481355003) 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 5 ways as a sum of consecutive naturals, for example, 1290310 + ... + 1290682.

Almost surely, 2^481355008 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 481355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488582941).

481355008 is an abundant number, since it is smaller than the sum of its proper divisors (495810874).

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

481355008 is an frugal number, since it uses more digits than its factorization.

481355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 481355008 is about 21939.8041923806. The cubic root of 481355008 is about 783.7095967342.

The spelling of 481355008 in words is "four hundred eighty-one million, three hundred fifty-five thousand, eight".