465164224 has 56 divisors (see below), whose sum is σ = 1058070528. Its totient is φ = 198762240.

The previous prime is 465164209. The next prime is 465164233. The reversal of 465164224 is 422461564.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 465164224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 170229 + ... + 172939.

Almost surely, 2^465164224 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 465164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529035264).

465164224 is an abundant number, since it is smaller than the sum of its proper divisors (592906304).

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

465164224 is a wasteful number, since it uses less digits than its factorization.

465164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3103 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 465164224 is about 21567.6661695233. Note that the first 3 decimals coincide. The cubic root of 465164224 is about 774.8222826634.

The spelling of 465164224 in words is "four hundred sixty-five million, one hundred sixty-four thousand, two hundred twenty-four".