468209988 has 288 divisors, whose sum is σ = 1434101760. Its totient is φ = 127733760.

The previous prime is 468209983. The next prime is 468209993. The reversal of 468209988 is 889902864.

It is an interprime number because it is at equal distance from previous prime (468209983) and next prime (468209993).

It is not an unprimeable number, because it can be changed into a prime (468209983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12654306 + ... + 12654342.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^468209988 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 468209988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

468209988 is an abundant number, since it is smaller than the sum of its proper divisors (965891772).

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

468209988 is a wasteful number, since it uses less digits than its factorization.

468209988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 468209988 is about 21638.1604578578. The cubic root of 468209988 is about 776.5097109157.

The spelling of 468209988 in words is "four hundred sixty-eight million, two hundred nine thousand, nine hundred eighty-eight".