480476840 has 64 divisors (see below), whose sum is σ = 1110542400. Its totient is φ = 186988032.

The previous prime is 480476837. The next prime is 480476891. The reversal of 480476840 is 48674084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703139 + ... + 703821.

It is an arithmetic number, because the mean of its divisors is an integer number (17352225).

Almost surely, 2^480476840 is an apocalyptic number.

480476840 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 480476840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555271200).

480476840 is an abundant number, since it is smaller than the sum of its proper divisors (630065560).

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

480476840 is a wasteful number, since it uses less digits than its factorization.

480476840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 480476840 is about 21919.7819332219. The cubic root of 480476840 is about 783.2327154099.

The spelling of 480476840 in words is "four hundred eighty million, four hundred seventy-six thousand, eight hundred forty".