468167904 has 192 divisors, whose sum is σ = 1459584000. Its totient is φ = 145971072.

The previous prime is 468167899. The next prime is 468167911. The reversal of 468167904 is 409761864.

It is a self number, because there is not a number n which added to its sum of digits gives 468167904.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5926137 + ... + 5926215.

It is an arithmetic number, because the mean of its divisors is an integer number (7602000).

Almost surely, 2^468167904 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 468167904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729792000).

468167904 is an abundant number, since it is smaller than the sum of its proper divisors (991416096).

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

468167904 is an equidigital number, since it uses as much as digits as its factorization.

468167904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 468167904 is about 21637.1879873518. The cubic root of 468167904 is about 776.4864452766.

The spelling of 468167904 in words is "four hundred sixty-eight million, one hundred sixty-seven thousand, nine hundred four".