480105360 has 320 divisors, whose sum is σ = 1913448960. Its totient is φ = 108380160.

The previous prime is 480105359. The next prime is 480105443. The reversal of 480105360 is 63501084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1708420 + ... + 1708700.

It is an arithmetic number, because the mean of its divisors is an integer number (5979528).

Almost surely, 2^480105360 is an apocalyptic number.

480105360 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 480105360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956724480).

480105360 is an abundant number, since it is smaller than the sum of its proper divisors (1433343600).

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

480105360 is a wasteful number, since it uses less digits than its factorization.

480105360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 480105360 is about 21911.3066703015. The cubic root of 480105360 is about 783.0308116059.

The spelling of 480105360 in words is "four hundred eighty million, one hundred five thousand, three hundred sixty".