465485601 has 16 divisors (see below), whose sum is σ = 709632000. Its totient is φ = 265871568.

The previous prime is 465485593. The next prime is 465485609. The reversal of 465485601 is 106584564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465485593) and next prime (465485609).

It is not a de Polignac number, because 465485601 - 2³ = 465485593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 465485601.

It is not an unprimeable number, because it can be changed into a prime (465485609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65920 + ... + 72638.

It is an arithmetic number, because the mean of its divisors is an integer number (44352000).

Almost surely, 2^465485601 is an apocalyptic number.

It is an amenable number.

465485601 is a deficient number, since it is larger than the sum of its proper divisors (244146399).

465485601 is a wasteful number, since it uses less digits than its factorization.

465485601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 465485601 is about 21575.1153183477. The cubic root of 465485601 is about 775.0006804018. Note that the first 3 decimals are identical.

The spelling of 465485601 in words is "four hundred sixty-five million, four hundred eighty-five thousand, six hundred one".