465531768 has 96 divisors (see below), whose sum is σ = 1429318800. Its totient is φ = 135696384.

The previous prime is 465531767. The next prime is 465531779. The reversal of 465531768 is 867135564.

465531768 is a `hidden beast` number, since 46 + 5 + 531 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465531761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4696 + ... + 30872.

Almost surely, 2^465531768 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 465531768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714659400).

465531768 is an abundant number, since it is smaller than the sum of its proper divisors (963787032).

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

465531768 is a wasteful number, since it uses less digits than its factorization.

465531768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26221 (or 26214 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 465531768 is about 21576.1852049893. The cubic root of 465531768 is about 775.0263011539.

The spelling of 465531768 in words is "four hundred sixty-five million, five hundred thirty-one thousand, seven hundred sixty-eight".