480180762 has 48 divisors (see below), whose sum is σ = 1082315520. Its totient is φ = 153691200.

The previous prime is 480180761. The next prime is 480180773. The reversal of 480180762 is 267081084.

It is not an unprimeable number, because it can be changed into a prime (480180761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69814 + ... + 76382.

It is an arithmetic number, because the mean of its divisors is an integer number (22548240).

Almost surely, 2^480180762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480180762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541157760).

480180762 is an abundant number, since it is smaller than the sum of its proper divisors (602134758).

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

480180762 is a wasteful number, since it uses less digits than its factorization.

480180762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 480180762 is about 21913.0272212673. The cubic root of 480180762 is about 783.0718019131.

The spelling of 480180762 in words is "four hundred eighty million, one hundred eighty thousand, seven hundred sixty-two".