480873760 has 48 divisors (see below), whose sum is σ = 1146161016. Its totient is φ = 190640128.

The previous prime is 480873739. The next prime is 480873763. The reversal of 480873760 is 67378084.

It can be written as a sum of positive squares in 4 ways, for example, as 346406544 + 134467216 = 18612^2 + 11596^2 .

It is a super-3 number, since 3×480873760³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480873763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4782 + ... + 31378.

Almost surely, 2^480873760 is an apocalyptic number.

480873760 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 480873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573080508).

480873760 is an abundant number, since it is smaller than the sum of its proper divisors (665287256).

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

480873760 is a wasteful number, since it uses less digits than its factorization.

480873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26725 (or 26717 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 480873760 is about 21928.8339863295. The cubic root of 480873760 is about 783.4483311878.

The spelling of 480873760 in words is "four hundred eighty million, eight hundred seventy-three thousand, seven hundred sixty".