481198080 has 256 divisors, whose sum is σ = 1698667200. Its totient is φ = 115343360.

The previous prime is 481198063. The next prime is 481198103. The reversal of 481198080 is 80891184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5406676 + ... + 5406764.

Almost surely, 2^481198080 is an apocalyptic number.

481198080 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 481198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849333600).

481198080 is an abundant number, since it is smaller than the sum of its proper divisors (1217469120).

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

481198080 is an equidigital number, since it uses as much as digits as its factorization.

481198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 481198080 is about 21936.2275699355. The cubic root of 481198080 is about 783.6244209665.

The spelling of 481198080 in words is "four hundred eighty-one million, one hundred ninety-eight thousand, eighty".