468109800 has 192 divisors, whose sum is σ = 1682928000. Its totient is φ = 119370240.

The previous prime is 468109769. The next prime is 468109813. The reversal of 468109800 is 8901864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 122316 + ... + 126084.

It is an arithmetic number, because the mean of its divisors is an integer number (8765250).

Almost surely, 2^468109800 is an apocalyptic number.

468109800 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 468109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841464000).

468109800 is an abundant number, since it is smaller than the sum of its proper divisors (1214818200).

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

468109800 is a wasteful number, since it uses less digits than its factorization.

468109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 468109800 is about 21635.8452573501. The cubic root of 468109800 is about 776.4543208794.

The spelling of 468109800 in words is "four hundred sixty-eight million, one hundred nine thousand, eight hundred".