365465664 has 84 divisors (see below), whose sum is σ = 1057333420. Its totient is φ = 120683520.

The previous prime is 365465657. The next prime is 365465707. The reversal of 365465664 is 466564563.

365465664 is a `hidden beast` number, since 36 + 54 + 6 + 566 + 4 = 666.

365465664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 76737600 = 16992^2 + 8760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59874 + ... + 65694.

Almost surely, 2^365465664 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 365465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528666710).

365465664 is an abundant number, since it is smaller than the sum of its proper divisors (691867756).

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

365465664 is a wasteful number, since it uses less digits than its factorization.

365465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5935 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 365465664 is about 19117.1562738813. The cubic root of 365465664 is about 714.9607385487.

The spelling of 365465664 in words is "three hundred sixty-five million, four hundred sixty-five thousand, six hundred sixty-four".