465647616 has 240 divisors, whose sum is σ = 1593511920. Its totient is φ = 132710400.

The previous prime is 465647551. The next prime is 465647617. The reversal of 465647616 is 616746564.

465647616 is a `hidden beast` number, since 4 + 6 + 564 + 76 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465647617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161016 + ... + 1161416.

It is an arithmetic number, because the mean of its divisors is an integer number (6639633).

Almost surely, 2^465647616 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 465647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796755960).

465647616 is an abundant number, since it is smaller than the sum of its proper divisors (1127864304).

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

465647616 is an equidigital number, since it uses as much as digits as its factorization.

465647616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 465647616 is about 21578.8696645584. The cubic root of 465647616 is about 775.0905844864.

The spelling of 465647616 in words is "four hundred sixty-five million, six hundred forty-seven thousand, six hundred sixteen".