385753405 has 8 divisors (see below), whose sum is σ = 463059000. Its totient is φ = 308499456.

The previous prime is 385753391. The next prime is 385753427. The reversal of 385753405 is 504357583.

It can be written as a sum of positive squares in 4 ways, for example, as 1162084 + 384591321 = 1078^2 + 19611^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 385753405 - 2¹⁵ = 385720637 is a prime.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6061 + ... + 28429.

It is an arithmetic number, because the mean of its divisors is an integer number (57882375).

Almost surely, 2^385753405 is an apocalyptic number.

It is an amenable number.

385753405 is a deficient number, since it is larger than the sum of its proper divisors (77305595).

385753405 is a wasteful number, since it uses less digits than its factorization.

385753405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25823.

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 385753405 is about 19640.6060242550. The cubic root of 385753405 is about 727.9528590465.

The spelling of 385753405 in words is "three hundred eighty-five million, seven hundred fifty-three thousand, four hundred five".