481008000 has 256 divisors, whose sum is σ = 1741409280. Its totient is φ = 116480000.

The previous prime is 481007999. The next prime is 481008001. The reversal of 481008000 is 800184.

It is an interprime number because it is at equal distance from previous prime (481007999) and next prime (481008001).

It is a super-3 number, since 3×481008000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481008001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 527545 + ... + 528455.

It is an arithmetic number, because the mean of its divisors is an integer number (6802380).

Almost surely, 2^481008000 is an apocalyptic number.

481008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870704640).

481008000 is an abundant number, since it is smaller than the sum of its proper divisors (1260401280).

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

481008000 is a wasteful number, since it uses less digits than its factorization.

481008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 481008000 is about 21931.8945830040. The cubic root of 481008000 is about 783.5212264935.

Adding to 481008000 its reverse (800184), we get a palindrome (481808184).

The spelling of 481008000 in words is "four hundred eighty-one million, eight thousand".