465345216 has 448 divisors, whose sum is σ = 1732239360. Its totient is φ = 119439360.

The previous prime is 465345163. The next prime is 465345239. The reversal of 465345216 is 612543564.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×465345216³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6374556 + ... + 6374628.

Almost surely, 2^465345216 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 465345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866119680).

465345216 is an abundant number, since it is smaller than the sum of its proper divisors (1266894144).

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

465345216 is a wasteful number, since it uses less digits than its factorization.

465345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 465345216 is about 21571.8616720950. The cubic root of 465345216 is about 774.9227621951.

The spelling of 465345216 in words is "four hundred sixty-five million, three hundred forty-five thousand, two hundred sixteen".