1385413364 has 24 divisors (see below), whose sum is σ = 2473790088. Its totient is φ = 678758400.

The previous prime is 1385413363. The next prime is 1385413369. The reversal of 1385413364 is 4633145831.

It can be written as a sum of positive squares in 4 ways, for example, as 1026689764 + 358723600 = 32042^2 + 18940^2 .

It is a super-3 number, since 3×1385413364³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385413361) 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 7 ways as a sum of consecutive naturals, for example, 21512 + ... + 56864.

It is an arithmetic number, because the mean of its divisors is an integer number (103074587).

Almost surely, 2^1385413364 is an apocalyptic number.

It is an amenable number.

1385413364 is a deficient number, since it is larger than the sum of its proper divisors (1088376724).

1385413364 is a wasteful number, since it uses less digits than its factorization.

1385413364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35555 (or 35553 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 1385413364 is about 37221.1413581045. The cubic root of 1385413364 is about 1114.7901537562.

The spelling of 1385413364 in words is "one billion, three hundred eighty-five million, four hundred thirteen thousand, three hundred sixty-four".