465541616 has 40 divisors (see below), whose sum is σ = 916116960. Its totient is φ = 229153536.

The previous prime is 465541579. The next prime is 465541619. The reversal of 465541616 is 616145564.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 465541616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465541619) 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 7 ways as a sum of consecutive naturals, for example, 300941 + ... + 302483.

It is an arithmetic number, because the mean of its divisors is an integer number (22902924).

Almost surely, 2^465541616 is an apocalyptic number.

It is an amenable number.

465541616 is a deficient number, since it is larger than the sum of its proper divisors (450575344).

465541616 is a wasteful number, since it uses less digits than its factorization.

465541616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 465541616 is about 21576.4134183603. The cubic root of 465541616 is about 775.0317661624.

The spelling of 465541616 in words is "four hundred sixty-five million, five hundred forty-one thousand, six hundred sixteen".