468883800 has 576 divisors, whose sum is σ = 2089152000. Its totient is φ = 91238400.

The previous prime is 468883769. The next prime is 468883829. The reversal of 468883800 is 8388864.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2356101 + ... + 2356299.

It is an arithmetic number, because the mean of its divisors is an integer number (3627000).

Almost surely, 2^468883800 is an apocalyptic number.

468883800 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 468883800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576000).

468883800 is an abundant number, since it is smaller than the sum of its proper divisors (1620268200).

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

468883800 is a wasteful number, since it uses less digits than its factorization.

468883800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 468883800 is about 21653.7248527823. The cubic root of 468883800 is about 776.8820301611.

It can be divided in two parts, 4688 and 83800, that added together give a palindrome (88488).

The spelling of 468883800 in words is "four hundred sixty-eight million, eight hundred eighty-three thousand, eight hundred".