385509627 has 12 divisors (see below), whose sum is σ = 562361904. Its totient is φ = 254461200.

The previous prime is 385509559. The next prime is 385509653. The reversal of 385509627 is 726905583.

It is a happy number.

385509627 is a `hidden beast` number, since 3 + 8 + 550 + 96 + 2 + 7 = 666.

It is not a de Polignac number, because 385509627 - 2¹⁰ = 385508603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385509667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211143 + ... + 212960.

It is an arithmetic number, because the mean of its divisors is an integer number (46863492).

Almost surely, 2^385509627 is an apocalyptic number.

385509627 is a deficient number, since it is larger than the sum of its proper divisors (176852277).

385509627 is a wasteful number, since it uses less digits than its factorization.

385509627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424210 (or 424207 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 385509627 is about 19634.3990740741. The cubic root of 385509627 is about 727.7994827489.

The spelling of 385509627 in words is "three hundred eighty-five million, five hundred nine thousand, six hundred twenty-seven".