480181394160 has 1280 divisors, whose sum is σ = 1923596881920. Its totient is φ = 110559043584.

The previous prime is 480181394111. The next prime is 480181394201. The reversal of 480181394160 is 61493181084.

480181394160 is a `hidden beast` number, since 4 + 80 + 181 + 394 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3504973612 + ... + 3504973748.

It is an arithmetic number, because the mean of its divisors is an integer number (1502810064).

Almost surely, 2^480181394160 is an apocalyptic number.

480181394160 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 480181394160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961798440960).

480181394160 is an abundant number, since it is smaller than the sum of its proper divisors (1443415487760).

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

480181394160 is a wasteful number, since it uses less digits than its factorization.

480181394160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 480181394160 in words is "four hundred eighty billion, one hundred eighty-one million, three hundred ninety-four thousand, one hundred sixty".