480333840 has 320 divisors, whose sum is σ = 1837596672. Its totient is φ = 101376000.

The previous prime is 480333839. The next prime is 480333857. The reversal of 480333840 is 48333084.

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, 1197640 + ... + 1198040.

Almost surely, 2^480333840 is an apocalyptic number.

480333840 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 480333840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918798336).

480333840 is an abundant number, since it is smaller than the sum of its proper divisors (1357262832).

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

480333840 is a wasteful number, since it uses less digits than its factorization.

480333840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 480333840 is about 21916.5197967196. The cubic root of 480333840 is about 783.1550055307.

The spelling of 480333840 in words is "four hundred eighty million, three hundred thirty-three thousand, eight hundred forty".