1385314560 has 432 divisors, whose sum is σ = 5624760960. Its totient is φ = 308183040.

The previous prime is 1385314559. The next prime is 1385314589. The reversal of 1385314560 is 654135831.

1385314560 is a `hidden beast` number, since 1 + 3 + 85 + 3 + 14 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306031 + ... + 3306449.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2^1385314560 is an apocalyptic number.

1385314560 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 1385314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812380480).

1385314560 is an abundant number, since it is smaller than the sum of its proper divisors (4239446400).

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

1385314560 is a wasteful number, since it uses less digits than its factorization.

1385314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1385314560 is about 37219.8140779881. The cubic root of 1385314560 is about 1114.7636518356.

The spelling of 1385314560 in words is "one billion, three hundred eighty-five million, three hundred fourteen thousand, five hundred sixty".