465600016 has 40 divisors (see below), whose sum is σ = 1085238080. Its totient is φ = 189039744.

The previous prime is 465600013. The next prime is 465600019. The reversal of 465600016 is 610006564.

It is an interprime number because it is at equal distance from previous prime (465600013) and next prime (465600019).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (465600011) 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 7 ways as a sum of consecutive naturals, for example, 107271 + ... + 111526.

It is an arithmetic number, because the mean of its divisors is an integer number (27130952).

Almost surely, 2^465600016 is an apocalyptic number.

It is an amenable number.

465600016 is an abundant number, since it is smaller than the sum of its proper divisors (619638064).

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

465600016 is a wasteful number, since it uses less digits than its factorization.

465600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218831 (or 218825 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 465600016 is about 21577.7667055699. The cubic root of 465600016 is about 775.0641728339.

The spelling of 465600016 in words is "four hundred sixty-five million, six hundred thousand, sixteen".