480508312000 has 224 divisors, whose sum is σ = 1201867243200. Its totient is φ = 190292480000.

The previous prime is 480508311979. The next prime is 480508312013. The reversal of 480508312000 is 213805084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585271590 + ... + 585272410.

Almost surely, 2^480508312000 is an apocalyptic number.

480508312000 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 480508312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600933621600).

480508312000 is an abundant number, since it is smaller than the sum of its proper divisors (721358931200).

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

480508312000 is a wasteful number, since it uses less digits than its factorization.

480508312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 480508312000 in words is "four hundred eighty billion, five hundred eight million, three hundred twelve thousand".