468480915000 has 1680 divisors, whose sum is σ = 1991047754520. Its totient is φ = 102876480000.

The previous prime is 468480914999. The next prime is 468480915017. The reversal of 468480915000 is 519084864.

468480915000 is a `hidden beast` number, since 4 + 68 + 4 + 80 + 9 + 1 + 500 + 0 = 666.

468480915000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 7680014970 + ... + 7680015030.

Almost surely, 2^468480915000 is an apocalyptic number.

468480915000 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 468480915000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995523877260).

468480915000 is an abundant number, since it is smaller than the sum of its proper divisors (1522566839520).

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

468480915000 is an equidigital number, since it uses as much as digits as its factorization.

468480915000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 468480915000 its reverse (519084864), we get a palindrome (468999999864).

The spelling of 468480915000 in words is "four hundred sixty-eight billion, four hundred eighty million, nine hundred fifteen thousand".