468641004 has 96 divisors (see below), whose sum is σ = 1268762880. Its totient is φ = 133394688.

The previous prime is 468640993. The next prime is 468641011. The reversal of 468641004 is 400146864.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125614 + ... + 129290.

It is an arithmetic number, because the mean of its divisors is an integer number (13216280).

Almost surely, 2^468641004 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 468641004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634381440).

468641004 is an abundant number, since it is smaller than the sum of its proper divisors (800121876).

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

468641004 is a wasteful number, since it uses less digits than its factorization.

468641004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 468641004 is about 21648.1177934711. The cubic root of 468641004 is about 776.7479127697.

Adding to 468641004 its reverse (400146864), we get a palindrome (868787868).

The spelling of 468641004 in words is "four hundred sixty-eight million, six hundred forty-one thousand, four".