468395315304 has 128 divisors (see below), whose sum is σ = 1409172249600. Its totient is φ = 126741888000.

The previous prime is 468395315293. The next prime is 468395315317. The reversal of 468395315304 is 403513593864.

It is a happy number.

It is a super-2 number, since 2×468395315304² (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 31 ways as a sum of consecutive naturals, for example, 10354624 + ... + 10399760.

It is an arithmetic number, because the mean of its divisors is an integer number (11009158200).

Almost surely, 2^468395315304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468395315304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704586124800).

468395315304 is an abundant number, since it is smaller than the sum of its proper divisors (940776934296).

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

468395315304 is a wasteful number, since it uses less digits than its factorization.

468395315304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48423 (or 48419 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 468395315304 in words is "four hundred sixty-eight billion, three hundred ninety-five million, three hundred fifteen thousand, three hundred four".