1385785900 has 72 divisors (see below), whose sum is σ = 3190906880. Its totient is φ = 520914240.

The previous prime is 1385785883. The next prime is 1385785939. The reversal of 1385785900 is 95875831.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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, 238429 + ... + 244171.

Almost surely, 2^1385785900 is an apocalyptic number.

1385785900 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 1385785900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595453440).

1385785900 is an abundant number, since it is smaller than the sum of its proper divisors (1805120980).

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

1385785900 is a wasteful number, since it uses less digits than its factorization.

1385785900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 1385785900 is about 37226.1453819758. The cubic root of 1385785900 is about 1114.8900667152.

The spelling of 1385785900 in words is "one billion, three hundred eighty-five million, seven hundred eighty-five thousand, nine hundred".