468828500 has 192 divisors, whose sum is σ = 1257984000. Its totient is φ = 149184000.

The previous prime is 468828473. The next prime is 468828539. The reversal of 468828500 is 5828864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3146426 + ... + 3146574.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^468828500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

468828500 is an abundant number, since it is smaller than the sum of its proper divisors (789155500).

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

468828500 is a wasteful number, since it uses less digits than its factorization.

468828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 468828500 is about 21652.4478985633. The cubic root of 468828500 is about 776.8514872239.

The spelling of 468828500 in words is "four hundred sixty-eight million, eight hundred twenty-eight thousand, five hundred".