1385280 has 168 divisors, whose sum is σ = 5269992. Its totient is φ = 331776.

The previous prime is 1385273. The next prime is 1385287. The reversal of 1385280 is 825831.

It is a happy number.

1385280 is a `hidden beast` number, since 1 + 385 + 280 = 666.

1385280 is a nontrivial binomial coefficient, being equal to C(1665, 2).

It is an interprime number because it is at equal distance from previous prime (1385273) and next prime (1385287).

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 1218816 = 408^2 + 1104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37422 + ... + 37458.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2^1385280 is an apocalyptic number.

1385280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1385280 is the 1664-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634996).

1385280 is an abundant number, since it is smaller than the sum of its proper divisors (3884712).

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

1385280 is a wasteful number, since it uses less digits than its factorization.

1385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1385280 is about 1176.9791841830. The cubic root of 1385280 is about 111.4754381606.

The spelling of 1385280 in words is "one million, three hundred eighty-five thousand, two hundred eighty".