385903116 has 120 divisors (see below), whose sum is σ = 1060918320. Its totient is φ = 122145408.

The previous prime is 385903093. The next prime is 385903117. The reversal of 385903116 is 611309583.

It is a happy number.

385903116 is a `hidden beast` number, since 38 + 590 + 31 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385903117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629226 + ... + 629838.

It is an arithmetic number, because the mean of its divisors is an integer number (8840986).

Almost surely, 2^385903116 is an apocalyptic number.

385903116 is a gapful number since it is divisible by the number (36) 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 385903116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530459160).

385903116 is an abundant number, since it is smaller than the sum of its proper divisors (675015204).

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

385903116 is a wasteful number, since it uses less digits than its factorization.

385903116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 385903116 is about 19644.4169167731. The cubic root of 385903116 is about 728.0470197662.

The spelling of 385903116 in words is "three hundred eighty-five million, nine hundred three thousand, one hundred sixteen".