1385260800 has 432 divisors, whose sum is σ = 5705801472. Its totient is φ = 287539200.

The previous prime is 1385260771. The next prime is 1385260819. The reversal of 1385260800 is 80625831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1477932 + ... + 1478868.

Almost surely, 2^1385260800 is an apocalyptic number.

1385260800 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 1385260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852900736).

1385260800 is an abundant number, since it is smaller than the sum of its proper divisors (4320540672).

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

1385260800 is a wasteful number, since it uses less digits than its factorization.

1385260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1385260800 is about 37219.0918750042. The cubic root of 1385260800 is about 1114.7492314118.

The spelling of 1385260800 in words is "one billion, three hundred eighty-five million, two hundred sixty thousand, eight hundred".