364045000 has 80 divisors (see below), whose sum is σ = 930639600. Its totient is φ = 132360000.

The previous prime is 364044983. The next prime is 364045001. The reversal of 364045000 is 540463.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (364045001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51691 + ... + 58309.

It is an arithmetic number, because the mean of its divisors is an integer number (11632995).

Almost surely, 2^364045000 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 364045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465319800).

364045000 is an abundant number, since it is smaller than the sum of its proper divisors (566594600).

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

364045000 is a wasteful number, since it uses less digits than its factorization.

364045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 364045000 is about 19079.9633123337. The cubic root of 364045000 is about 714.0331202091.

Adding to 364045000 its reverse (540463), we get a palindrome (364585463).

The spelling of 364045000 in words is "three hundred sixty-four million, forty-five thousand".