465899616 has 288 divisors, whose sum is σ = 1689629760. Its totient is φ = 118444032.

The previous prime is 465899563. The next prime is 465899641. The reversal of 465899616 is 616998564.

It is a happy number.

465899616 is a `hidden beast` number, since 46 + 589 + 9 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 759726 + ... + 760338.

It is an arithmetic number, because the mean of its divisors is an integer number (5866770).

Almost surely, 2^465899616 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 465899616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844814880).

465899616 is an abundant number, since it is smaller than the sum of its proper divisors (1223730144).

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

465899616 is a wasteful number, since it uses less digits than its factorization.

465899616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 465899616 is about 21584.7079201920. The cubic root of 465899616 is about 775.2303809019.

The spelling of 465899616 in words is "four hundred sixty-five million, eight hundred ninety-nine thousand, six hundred sixteen".