1385692560 has 480 divisors, whose sum is σ = 5632972800. Its totient is φ = 304819200.

The previous prime is 1385692549. The next prime is 1385692573. The reversal of 1385692560 is 652965831.

1385692560 is a `hidden beast` number, since 1 + 3 + 8 + 569 + 25 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7655670 + ... + 7655850.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2^1385692560 is an apocalyptic number.

1385692560 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 1385692560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816486400).

1385692560 is an abundant number, since it is smaller than the sum of its proper divisors (4247280240).

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

1385692560 is a wasteful number, since it uses less digits than its factorization.

1385692560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1385692560 is about 37224.8916721056. The cubic root of 1385692560 is about 1114.8650349082.

The spelling of 1385692560 in words is "one billion, three hundred eighty-five million, six hundred ninety-two thousand, five hundred sixty".