1385145792 has 224 divisors, whose sum is σ = 4264761600. Its totient is φ = 440294400.

The previous prime is 1385145791. The next prime is 1385145823. The reversal of 1385145792 is 2975415831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385145791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6564567 + ... + 6564777.

Almost surely, 2^1385145792 is an apocalyptic number.

1385145792 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 1385145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132380800).

1385145792 is an abundant number, since it is smaller than the sum of its proper divisors (2879615808).

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

1385145792 is a wasteful number, since it uses less digits than its factorization.

1385145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1385145792 is about 37217.5468294191. The cubic root of 1385145792 is about 1114.7183807523.

The spelling of 1385145792 in words is "one billion, three hundred eighty-five million, one hundred forty-five thousand, seven hundred ninety-two".