468488992600 has 288 divisors, whose sum is σ = 1180784692800. Its totient is φ = 172370246400.

The previous prime is 468488992591. The next prime is 468488992633. The reversal of 468488992600 is 6299884864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1415374435 + ... + 1415374765.

It is an arithmetic number, because the mean of its divisors is an integer number (4099946850).

Almost surely, 2^468488992600 is an apocalyptic number.

468488992600 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 468488992600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590392346400).

468488992600 is an abundant number, since it is smaller than the sum of its proper divisors (712295700200).

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

468488992600 is a wasteful number, since it uses less digits than its factorization.

468488992600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 468488992600 in words is "four hundred sixty-eight billion, four hundred eighty-eight million, nine hundred ninety-two thousand, six hundred".