465418968 has 64 divisors (see below), whose sum is σ = 1331665920. Its totient is φ = 132787200.

The previous prime is 465418951. The next prime is 465418969. The reversal of 465418968 is 869814564.

It is a super-3 number, since 3×465418968³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 465418968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465418969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151528 + ... + 154568.

It is an arithmetic number, because the mean of its divisors is an integer number (20807280).

Almost surely, 2^465418968 is an apocalyptic number.

It is an amenable number.

465418968 is an abundant number, since it is smaller than the sum of its proper divisors (866246952).

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

465418968 is a wasteful number, since it uses less digits than its factorization.

465418968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3964 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 465418968 is about 21573.5710534904. The cubic root of 465418968 is about 774.9636988893.

The spelling of 465418968 in words is "four hundred sixty-five million, four hundred eighteen thousand, nine hundred sixty-eight".