480508009002 has 288 divisors, whose sum is σ = 1293425340480. Its totient is φ = 133210344960.

The previous prime is 480508008991. The next prime is 480508009057. The reversal of 480508009002 is 200900805084.

It is a super-2 number, since 2×480508009002² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 545411602 + ... + 545412482.

It is an arithmetic number, because the mean of its divisors is an integer number (4491060210).

Almost surely, 2^480508009002 is an apocalyptic number.

480508009002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 480508009002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646712670240).

480508009002 is an abundant number, since it is smaller than the sum of its proper divisors (812917331478).

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

480508009002 is a wasteful number, since it uses less digits than its factorization.

480508009002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 480508009002 in words is "four hundred eighty billion, five hundred eight million, nine thousand, two".