364516240 has 80 divisors (see below), whose sum is σ = 947189376. Its totient is φ = 129305600.

The previous prime is 364516237. The next prime is 364516249. The reversal of 364516240 is 42615463.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (364516249) 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 15 ways as a sum of consecutive naturals, for example, 31029 + ... + 41131.

Almost surely, 2^364516240 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 364516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473594688).

364516240 is an abundant number, since it is smaller than the sum of its proper divisors (582673136).

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

364516240 is a wasteful number, since it uses less digits than its factorization.

364516240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 364516240 is about 19092.3083989338. The cubic root of 364516240 is about 714.3410820319.

The spelling of 364516240 in words is "three hundred sixty-four million, five hundred sixteen thousand, two hundred forty".