364004208 has 60 divisors (see below), whose sum is σ = 1021766200. Its totient is φ = 120970368.

The previous prime is 364004203. The next prime is 364004209. The reversal of 364004208 is 802400463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364004203) 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 11 ways as a sum of consecutive naturals, for example, 46635 + ... + 53877.

Almost surely, 2^364004208 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 364004208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510883100).

364004208 is an abundant number, since it is smaller than the sum of its proper divisors (657761992).

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

364004208 is a wasteful number, since it uses less digits than its factorization.

364004208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 364004208 is about 19078.8943075850. The cubic root of 364004208 is about 714.0064495804.

The spelling of 364004208 in words is "three hundred sixty-four million, four thousand, two hundred eight".