468680828 has 72 divisors (see below), whose sum is σ = 1080213120. Its totient is φ = 172380960.

The previous prime is 468680827. The next prime is 468680833. The reversal of 468680828 is 828086864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468680827) 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 23 ways as a sum of consecutive naturals, for example, 1655975 + ... + 1656257.

It is an arithmetic number, because the mean of its divisors is an integer number (15002960).

Almost surely, 2^468680828 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 468680828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540106560).

468680828 is an abundant number, since it is smaller than the sum of its proper divisors (611532292).

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

468680828 is a wasteful number, since it uses less digits than its factorization.

468680828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The square root of 468680828 is about 21649.0375767608. The cubic root of 468680828 is about 776.7699142111.

The spelling of 468680828 in words is "four hundred sixty-eight million, six hundred eighty thousand, eight hundred twenty-eight".