468138564 has 72 divisors (see below), whose sum is σ = 1225323008. Its totient is φ = 150543360.

The previous prime is 468138557. The next prime is 468138611. The reversal of 468138564 is 465831864.

468138564 is a `hidden beast` number, since 4 + 6 + 81 + 3 + 8 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643569 + ... + 644295.

Almost surely, 2^468138564 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 468138564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612661504).

468138564 is an abundant number, since it is smaller than the sum of its proper divisors (757184444).

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

468138564 is a wasteful number, since it uses less digits than its factorization.

468138564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 468138564 is about 21636.5099773508. The cubic root of 468138564 is about 776.4702241815.

The spelling of 468138564 in words is "four hundred sixty-eight million, one hundred thirty-eight thousand, five hundred sixty-four".