1385893152 has 432 divisors, whose sum is σ = 4999542912. Its totient is φ = 369515520.

The previous prime is 1385893097. The next prime is 1385893153. The reversal of 1385893152 is 2513985831.

1385893152 is a `hidden beast` number, since 1 + 38 + 589 + 31 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 1385893098 and 1385893107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385893153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33802252 + ... + 33802292.

It is an arithmetic number, because the mean of its divisors is an integer number (11573016).

Almost surely, 2^1385893152 is an apocalyptic number.

1385893152 is a gapful number since it is divisible by the number (12) 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 1385893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499771456).

1385893152 is an abundant number, since it is smaller than the sum of its proper divisors (3613649760).

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

1385893152 is an frugal number, since it uses more digits than its factorization.

1385893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1385893152 is about 37227.5859007806. The cubic root of 1385893152 is about 1114.9188280375.

The spelling of 1385893152 in words is "one billion, three hundred eighty-five million, eight hundred ninety-three thousand, one hundred fifty-two".