465165984 has 96 divisors (see below), whose sum is σ = 1281982464. Its totient is φ = 147403520.

The previous prime is 465165979. The next prime is 465165989. The reversal of 465165984 is 489561564.

It is an interprime number because it is at equal distance from previous prime (465165979) and next prime (465165989).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (465165989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421177 + ... + 422279.

It is an arithmetic number, because the mean of its divisors is an integer number (13353984).

Almost surely, 2^465165984 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 465165984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640991232).

465165984 is an abundant number, since it is smaller than the sum of its proper divisors (816816480).

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

465165984 is a wasteful number, since it uses less digits than its factorization.

465165984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1322 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 465165984 is about 21567.7069713032. The cubic root of 465165984 is about 774.8232598706.

The spelling of 465165984 in words is "four hundred sixty-five million, one hundred sixty-five thousand, nine hundred eighty-four".