468568800 has 360 divisors, whose sum is σ = 1954781136. Its totient is φ = 106997760.

The previous prime is 468568769. The next prime is 468568801. The reversal of 468568800 is 8865864.

468568800 is a `hidden beast` number, since 4 + 6 + 8 + 568 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468568801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 453084 + ... + 454116.

Almost surely, 2^468568800 is an apocalyptic number.

468568800 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 468568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977390568).

468568800 is an abundant number, since it is smaller than the sum of its proper divisors (1486212336).

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

468568800 is a wasteful number, since it uses less digits than its factorization.

468568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 468568800 is about 21646.4500553786. The cubic root of 468568800 is about 776.7080192717.

The spelling of 468568800 in words is "four hundred sixty-eight million, five hundred sixty-eight thousand, eight hundred".