1385675424 has 144 divisors (see below), whose sum is σ = 4670422848. Its totient is φ = 395891712.

The previous prime is 1385675399. The next prime is 1385675437. The reversal of 1385675424 is 4245765831.

1385675424 is a `hidden beast` number, since 1 + 38 + 567 + 54 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1385675424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41704 + ... + 67160.

It is an arithmetic number, because the mean of its divisors is an integer number (32433492).

Almost surely, 2^1385675424 is an apocalyptic number.

1385675424 is a gapful number since it is divisible by the number (14) 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 1385675424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335211424).

1385675424 is an abundant number, since it is smaller than the sum of its proper divisors (3284747424).

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

1385675424 is an equidigital number, since it uses as much as digits as its factorization.

1385675424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25489 (or 25469 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1385675424 is about 37224.6615028263. The cubic root of 1385675424 is about 1114.8604392746.

The spelling of 1385675424 in words is "one billion, three hundred eighty-five million, six hundred seventy-five thousand, four hundred twenty-four".