468523309800 has 1152 divisors, whose sum is σ = 1930038969600. Its totient is φ = 93026304000.

The previous prime is 468523309777. The next prime is 468523309823. The reversal of 468523309800 is 8903325864.

It is an interprime number because it is at equal distance from previous prime (468523309777) and next prime (468523309823).

It is a self number, because there is not a number n which added to its sum of digits gives 468523309800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 454435285 + ... + 454436315.

It is an arithmetic number, because the mean of its divisors is an integer number (1675381050).

Almost surely, 2^468523309800 is an apocalyptic number.

468523309800 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 468523309800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965019484800).

468523309800 is an abundant number, since it is smaller than the sum of its proper divisors (1461515659800).

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

468523309800 is a wasteful number, since it uses less digits than its factorization.

468523309800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 468523309800 in words is "four hundred sixty-eight billion, five hundred twenty-three million, three hundred nine thousand, eight hundred".