481008800 has 72 divisors (see below), whose sum is σ = 1181174400. Its totient is φ = 191271680.

The previous prime is 481008799. The next prime is 481008809. The reversal of 481008800 is 8800184.

It is a super-3 number, since 3×481008800³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (481008809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141521 + ... + 144879.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^481008800 is an apocalyptic number.

481008800 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 481008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590587200).

481008800 is an abundant number, since it is smaller than the sum of its proper divisors (700165600).

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

481008800 is a wasteful number, since it uses less digits than its factorization.

481008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 481008800 is about 21931.9128212748. The cubic root of 481008800 is about 783.5216608706.

Adding to 481008800 its reverse (8800184), we get a palindrome (489808984).

The spelling of 481008800 in words is "four hundred eighty-one million, eight thousand, eight hundred".