468849497600 has 480 divisors, whose sum is σ = 1307374260192. Its totient is φ = 165150720000.

The previous prime is 468849497579. The next prime is 468849497629. The reversal of 468849497600 is 6794948864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391244632 + ... + 1391244968.

Almost surely, 2^468849497600 is an apocalyptic number.

468849497600 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 468849497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653687130096).

468849497600 is an abundant number, since it is smaller than the sum of its proper divisors (838524762592).

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

468849497600 is a wasteful number, since it uses less digits than its factorization.

468849497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 65.

The spelling of 468849497600 in words is "four hundred sixty-eight billion, eight hundred forty-nine million, four hundred ninety-seven thousand, six hundred".