385505397 has 12 divisors (see below), whose sum is σ = 559011180. Its totient is φ = 256002048.

The previous prime is 385505389. The next prime is 385505437. The reversal of 385505397 is 793505583.

385505397 is a `hidden beast` number, since 3 + 8 + 550 + 5 + 3 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330730596 + 54774801 = 18186^2 + 7401^2 .

It is not a de Polignac number, because 385505397 - 2³ = 385505389 is a prime.

It is a super-2 number, since 2×385505397² = 297228822232255218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385505317) 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 11 ways as a sum of consecutive naturals, for example, 81022 + ... + 85647.

It is an arithmetic number, because the mean of its divisors is an integer number (46584265).

Almost surely, 2^385505397 is an apocalyptic number.

It is an amenable number.

385505397 is a deficient number, since it is larger than the sum of its proper divisors (173505783).

385505397 is a wasteful number, since it uses less digits than its factorization.

385505397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166932 (or 166929 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 385505397 is about 19634.2913546682. The cubic root of 385505397 is about 727.7968208153.

The spelling of 385505397 in words is "three hundred eighty-five million, five hundred five thousand, three hundred ninety-seven".