364800241 has 4 divisors (see below), whose sum is σ = 392861812. Its totient is φ = 336738672.

The previous prime is 364800211. The next prime is 364800253. The reversal of 364800241 is 142008463.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 171479025 + 193321216 = 13095^2 + 13904^2 .

It is a cyclic number.

It is not a de Polignac number, because 364800241 - 2¹³ = 364792049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364800211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14030766 + ... + 14030791.

It is an arithmetic number, because the mean of its divisors is an integer number (98215453).

Almost surely, 2^364800241 is an apocalyptic number.

It is an amenable number.

364800241 is a deficient number, since it is larger than the sum of its proper divisors (28061571).

364800241 is a wasteful number, since it uses less digits than its factorization.

364800241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28061570.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 364800241 is about 19099.7445270873. The cubic root of 364800241 is about 714.5265524305.

The spelling of 364800241 in words is "three hundred sixty-four million, eight hundred thousand, two hundred forty-one".