1385959680 has 576 divisors, whose sum is σ = 5969134080. Its totient is φ = 297271296.

The previous prime is 1385959669. The next prime is 1385959681. The reversal of 1385959680 is 869595831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385959681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112472 + ... + 4112808.

It is an arithmetic number, because the mean of its divisors is an integer number (10363080).

Almost surely, 2^1385959680 is an apocalyptic number.

1385959680 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 1385959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984567040).

1385959680 is an abundant number, since it is smaller than the sum of its proper divisors (4583174400).

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

1385959680 is a wasteful number, since it uses less digits than its factorization.

1385959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1385959680 is about 37228.4794210024. The cubic root of 1385959680 is about 1114.9366678286.

The spelling of 1385959680 in words is "one billion, three hundred eighty-five million, nine hundred fifty-nine thousand, six hundred eighty".