468195000 has 400 divisors, whose sum is σ = 1837568040. Its totient is φ = 98784000.

The previous prime is 468194999. The next prime is 468195023. The reversal of 468195000 is 591864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 36014994 + ... + 36015006.

Almost surely, 2^468195000 is an apocalyptic number.

468195000 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 468195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918784020).

468195000 is an abundant number, since it is smaller than the sum of its proper divisors (1369373040).

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

468195000 is an equidigital number, since it uses as much as digits as its factorization.

468195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 468195000 is about 21637.8141225032. The cubic root of 468195000 is about 776.5014251379.

It can be divided in two parts, 4681 and 95000, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 468195000 in words is "four hundred sixty-eight million, one hundred ninety-five thousand".