385933457 has 12 divisors (see below), whose sum is σ = 483477876. Its totient is φ = 305353440.

The previous prime is 385933381. The next prime is 385933531. The reversal of 385933457 is 754339583.

It can be written as a sum of positive squares in 2 ways, for example, as 109077136 + 276856321 = 10444^2 + 16639^2 .

It is not a de Polignac number, because 385933457 - 2¹⁴ = 385917073 is a prime.

It is a super-3 number, since 3×385933457³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (385938457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302294 + ... + 303567.

It is an arithmetic number, because the mean of its divisors is an integer number (40289823).

Almost surely, 2^385933457 is an apocalyptic number.

It is an amenable number.

385933457 is a deficient number, since it is larger than the sum of its proper divisors (97544419).

385933457 is a wasteful number, since it uses less digits than its factorization.

385933457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605888 (or 605881 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 47.

The square root of 385933457 is about 19645.1891566358. The cubic root of 385933457 is about 728.0660997674.

The spelling of 385933457 in words is "three hundred eighty-five million, nine hundred thirty-three thousand, four hundred fifty-seven".