465064720 has 20 divisors (see below), whose sum is σ = 1081275660. Its totient is φ = 186025856.

The previous prime is 465064711. The next prime is 465064723. The reversal of 465064720 is 27460564.

It can be written as a sum of positive squares in 2 ways, for example, as 325730304 + 139334416 = 18048^2 + 11804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (465064723) 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, 2906575 + ... + 2906734.

It is an arithmetic number, because the mean of its divisors is an integer number (54063783).

Almost surely, 2^465064720 is an apocalyptic number.

465064720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465064720 is an abundant number, since it is smaller than the sum of its proper divisors (616210940).

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

465064720 is a wasteful number, since it uses less digits than its factorization.

465064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813322 (or 5813316 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 465064720 is about 21565.3592597017. The cubic root of 465064720 is about 774.7670309118.

The spelling of 465064720 in words is "four hundred sixty-five million, sixty-four thousand, seven hundred twenty".