385083104 has 48 divisors (see below), whose sum is σ = 875066976. Its totient is φ = 163392000.

The previous prime is 385083073. The next prime is 385083131. The reversal of 385083104 is 401380583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14114 + ... + 31134.

It is an arithmetic number, because the mean of its divisors is an integer number (18230562).

Almost surely, 2^385083104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437533488).

385083104 is an abundant number, since it is smaller than the sum of its proper divisors (489983872).

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

385083104 is a wasteful number, since it uses less digits than its factorization.

385083104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139 (or 17131 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 385083104 is about 19623.5344420927. The cubic root of 385083104 is about 727.5309743034.

The spelling of 385083104 in words is "three hundred eighty-five million, eighty-three thousand, one hundred four".