480759840 has 384 divisors, whose sum is σ = 1875363840. Its totient is φ = 114048000.

The previous prime is 480759817. The next prime is 480759841. The reversal of 480759840 is 48957084.

It is a super-3 number, since 3×480759840³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480759841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183765 + ... + 3183915.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^480759840 is an apocalyptic number.

480759840 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 480759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

480759840 is an abundant number, since it is smaller than the sum of its proper divisors (1394604000).

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

480759840 is a wasteful number, since it uses less digits than its factorization.

480759840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 480759840 is about 21926.2363391440. The cubic root of 480759840 is about 783.3864594521.

The spelling of 480759840 in words is "four hundred eighty million, seven hundred fifty-nine thousand, eight hundred forty".