364800385 has 8 divisors (see below), whose sum is σ = 442095336. Its totient is φ = 288950400.

The previous prime is 364800349. The next prime is 364800391. The reversal of 364800385 is 583008463.

It can be written as a sum of positive squares in 4 ways, for example, as 125417601 + 239382784 = 11199^2 + 15472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 364800385 - 2⁷ = 364800257 is a prime.

It is a super-2 number, since 2×364800385² = 266158641792296450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360684 + ... + 361693.

It is an arithmetic number, because the mean of its divisors is an integer number (55261917).

Almost surely, 2^364800385 is an apocalyptic number.

It is an amenable number.

364800385 is a deficient number, since it is larger than the sum of its proper divisors (77294951).

364800385 is a wasteful number, since it uses less digits than its factorization.

364800385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722483.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 364800385 is about 19099.7482967708. The cubic root of 364800385 is about 714.5266464470.

The spelling of 364800385 in words is "three hundred sixty-four million, eight hundred thousand, three hundred eighty-five".