1385328400 has 45 divisors (see below), whose sum is σ = 3330040863. Its totient is φ = 553833600.

The previous prime is 1385328383. The next prime is 1385328407. The reversal of 1385328400 is 48235831.

It is a happy number.

The square root of 1385328400 is 37220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 842624784 + 542703616 = 29028^2 + 23296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1385328407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 743470 + ... + 745330.

Almost surely, 2^1385328400 is an apocalyptic number.

1385328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1385328400 is the 37220-th square number.

It is an amenable number.

1385328400 is an abundant number, since it is smaller than the sum of its proper divisors (1944712463).

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

1385328400 is an frugal number, since it uses more digits than its factorization.

1385328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 1385328400 is about 1114.7673641760.

The spelling of 1385328400 in words is "one billion, three hundred eighty-five million, three hundred twenty-eight thousand, four hundred".