465765664 has 96 divisors (see below), whose sum is σ = 1134435456. Its totient is φ = 183306240.

The previous prime is 465765661. The next prime is 465765667. The reversal of 465765664 is 466567564.

It is an interprime number because it is at equal distance from previous prime (465765661) and next prime (465765667).

It is a super-2 number, since 2×465765664² = 433875307522721792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465765661) 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 15 ways as a sum of consecutive naturals, for example, 893724 + ... + 894244.

It is an arithmetic number, because the mean of its divisors is an integer number (11817036).

Almost surely, 2^465765664 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 465765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567217728).

465765664 is an abundant number, since it is smaller than the sum of its proper divisors (668669792).

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

465765664 is a wasteful number, since it uses less digits than its factorization.

465765664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 49.

The square root of 465765664 is about 21581.6047596095. The cubic root of 465765664 is about 775.1560776184.

The spelling of 465765664 in words is "four hundred sixty-five million, seven hundred sixty-five thousand, six hundred sixty-four".