1385577280 has 112 divisors (see below), whose sum is σ = 3489716160. Its totient is φ = 522547200.

The previous prime is 1385577257. The next prime is 1385577289. The reversal of 1385577280 is 827755831.

It is a self number, because there is not a number n which added to its sum of digits gives 1385577280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385577289) 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 15 ways as a sum of consecutive naturals, for example, 1708075 + ... + 1708885.

It is an arithmetic number, because the mean of its divisors is an integer number (31158180).

Almost surely, 2^1385577280 is an apocalyptic number.

1385577280 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 1385577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744858080).

1385577280 is an abundant number, since it is smaller than the sum of its proper divisors (2104138880).

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

1385577280 is a wasteful number, since it uses less digits than its factorization.

1385577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The square root of 1385577280 is about 37223.3432136341. The cubic root of 1385577280 is about 1114.8341177074.

The spelling of 1385577280 in words is "one billion, three hundred eighty-five million, five hundred seventy-seven thousand, two hundred eighty".