465648320 has 28 divisors (see below), whose sum is σ = 1108825824. Its totient is φ = 186259200.

The previous prime is 465648289. The next prime is 465648329. The reversal of 465648320 is 23846564.

It is not an unprimeable number, because it can be changed into a prime (465648329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 727256 + ... + 727895.

Almost surely, 2^465648320 is an apocalyptic number.

465648320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465648320 is an abundant number, since it is smaller than the sum of its proper divisors (643177504).

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

465648320 is a wasteful number, since it uses less digits than its factorization.

465648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455168 (or 1455158 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 465648320 is about 21578.8859768061. The cubic root of 465648320 is about 775.0909750990.

The spelling of 465648320 in words is "four hundred sixty-five million, six hundred forty-eight thousand, three hundred twenty".