468340728 has 64 divisors (see below), whose sum is σ = 1240233600. Its totient is φ = 146966400.

The previous prime is 468340727. The next prime is 468340739. The reversal of 468340728 is 827043864.

It is a self number, because there is not a number n which added to its sum of digits gives 468340728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468340723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71178 + ... + 77478.

It is an arithmetic number, because the mean of its divisors is an integer number (19378650).

Almost surely, 2^468340728 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 468340728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620116800).

468340728 is an abundant number, since it is smaller than the sum of its proper divisors (771892872).

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

468340728 is a wasteful number, since it uses less digits than its factorization.

468340728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 468340728 is about 21641.1812986260. The cubic root of 468340728 is about 776.5819800786.

The spelling of 468340728 in words is "four hundred sixty-eight million, three hundred forty thousand, seven hundred twenty-eight".