468288546 has 64 divisors (see below), whose sum is σ = 1045440000. Its totient is φ = 138643200.

The previous prime is 468288529. The next prime is 468288553. The reversal of 468288546 is 645882864.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 938205 + ... + 938703.

It is an arithmetic number, because the mean of its divisors is an integer number (16335000).

Almost surely, 2^468288546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468288546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720000).

468288546 is an abundant number, since it is smaller than the sum of its proper divisors (577151454).

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

468288546 is a wasteful number, since it uses less digits than its factorization.

468288546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its digits is 2949120, while the sum is 51.

The square root of 468288546 is about 21639.9756469364. The cubic root of 468288546 is about 776.5531370422.

The spelling of 468288546 in words is "four hundred sixty-eight million, two hundred eighty-eight thousand, five hundred forty-six".