1385905952 has 18 divisors (see below), whose sum is σ = 2728917009. Its totient is φ = 692847680.

The previous prime is 1385905919. The next prime is 1385905973. The reversal of 1385905952 is 2595095831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1284218896 + 101687056 = 35836^2 + 10084^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26324.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1385905897 and 1385905906.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 207302 + ... + 213882.

Almost surely, 2^1385905952 is an apocalyptic number.

It is an amenable number.

1385905952 is a deficient number, since it is larger than the sum of its proper divisors (1343011057).

1385905952 is an frugal number, since it uses more digits than its factorization.

1385905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 47.

The square root of 1385905952 is about 37227.7578159094. The cubic root of 1385905952 is about 1114.9222604611.

The spelling of 1385905952 in words is "one billion, three hundred eighty-five million, nine hundred five thousand, nine hundred fifty-two".