465168144 has 320 divisors, whose sum is σ = 1563328512. Its totient is φ = 116121600.

The previous prime is 465168131. The next prime is 465168167. The reversal of 465168144 is 441861564.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6551629 + ... + 6551699.

Almost surely, 2^465168144 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 465168144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781664256).

465168144 is an abundant number, since it is smaller than the sum of its proper divisors (1098160368).

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

465168144 is a wasteful number, since it uses less digits than its factorization.

465168144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 465168144 is about 21567.7570461094. The cubic root of 465168144 is about 774.8244591670.

The spelling of 465168144 in words is "four hundred sixty-five million, one hundred sixty-eight thousand, one hundred forty-four".