1385357792 has 240 divisors, whose sum is σ = 3656313360. Its totient is φ = 512096256.

The previous prime is 1385357767. The next prime is 1385357807. The reversal of 1385357792 is 2977535831.

It is a self number, because there is not a number n which added to its sum of digits gives 1385357792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18977468 + ... + 18977540.

It is an arithmetic number, because the mean of its divisors is an integer number (15234639).

Almost surely, 2^1385357792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385357792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828156680).

1385357792 is an abundant number, since it is smaller than the sum of its proper divisors (2270955568).

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

1385357792 is an equidigital number, since it uses as much as digits as its factorization.

1385357792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 50.

The square root of 1385357792 is about 37220.3948393888. The cubic root of 1385357792 is about 1114.7752479891.

The spelling of 1385357792 in words is "one billion, three hundred eighty-five million, three hundred fifty-seven thousand, seven hundred ninety-two".