481000480 has 48 divisors (see below), whose sum is σ = 1138161024. Its totient is φ = 192096000.

The previous prime is 481000477. The next prime is 481000483. The reversal of 481000480 is 84000184.

It is an interprime number because it is at equal distance from previous prime (481000477) and next prime (481000483).

It is a super-3 number, since 3×481000480³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (481000483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118159 + ... + 122161.

It is an arithmetic number, because the mean of its divisors is an integer number (23711688).

Almost surely, 2^481000480 is an apocalyptic number.

481000480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481000480 is an abundant number, since it is smaller than the sum of its proper divisors (657160544).

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

481000480 is a wasteful number, since it uses less digits than its factorization.

481000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 481000480 is about 21931.7231425166. The cubic root of 481000480 is about 783.5171433249.

The spelling of 481000480 in words is "four hundred eighty-one million, four hundred eighty", and thus it is an aban number.