1385875920 has 240 divisors, whose sum is σ = 5086924416. Its totient is φ = 310041600.

The previous prime is 1385875901. The next prime is 1385875927. The reversal of 1385875920 is 295785831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1385875920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385875927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375685 + ... + 379355.

Almost surely, 2^1385875920 is an apocalyptic number.

1385875920 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 1385875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543462208).

1385875920 is an abundant number, since it is smaller than the sum of its proper divisors (3701048496).

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

1385875920 is a wasteful number, since it uses less digits than its factorization.

1385875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 1385875920 is about 37227.3544587847. The cubic root of 1385875920 is about 1114.9142071038.

The spelling of 1385875920 in words is "one billion, three hundred eighty-five million, eight hundred seventy-five thousand, nine hundred twenty".