465966144 has 168 divisors, whose sum is σ = 1537939520. Its totient is φ = 132129792.

The previous prime is 465966143. The next prime is 465966157. The reversal of 465966144 is 441669564.

It is a happy number.

465966144 is a `hidden beast` number, since 46 + 596 + 6 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 465966144.

It is not an unprimeable number, because it can be changed into a prime (465966143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656862 + ... + 657570.

Almost surely, 2^465966144 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 465966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768969760).

465966144 is an abundant number, since it is smaller than the sum of its proper divisors (1071973376).

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

465966144 is a wasteful number, since it uses less digits than its factorization.

465966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 884 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 465966144 is about 21586.2489562221. The cubic root of 465966144 is about 775.2672787445.

The spelling of 465966144 in words is "four hundred sixty-five million, nine hundred sixty-six thousand, one hundred forty-four".