1385048200 has 48 divisors (see below), whose sum is σ = 3238113060. Its totient is φ = 550944000.

The previous prime is 1385048179. The next prime is 1385048221. The reversal of 1385048200 is 28405831.

It is an interprime number because it is at equal distance from previous prime (1385048179) and next prime (1385048221).

It can be written as a sum of positive squares in 6 ways, for example, as 400720324 + 984327876 = 20018^2 + 31374^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17070 + ... + 55330.

Almost surely, 2^1385048200 is an apocalyptic number.

1385048200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619056530).

1385048200 is an abundant number, since it is smaller than the sum of its proper divisors (1853064860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1385048200 is a wasteful number, since it uses less digits than its factorization.

1385048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38458 (or 38449 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1385048200 is about 37216.2357043267. The cubic root of 1385048200 is about 1114.6922005596.

The spelling of 1385048200 in words is "one billion, three hundred eighty-five million, forty-eight thousand, two hundred".