385536416 has 48 divisors (see below), whose sum is σ = 781208064. Its totient is φ = 187209984.

The previous prime is 385536401. The next prime is 385536427. The reversal of 385536416 is 614635583.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173585 + ... + 175791.

It is an arithmetic number, because the mean of its divisors is an integer number (16275168).

Almost surely, 2^385536416 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 385536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390604032).

385536416 is an abundant number, since it is smaller than the sum of its proper divisors (395671648).

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

385536416 is a wasteful number, since it uses less digits than its factorization.

385536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2365 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 385536416 is about 19635.0812577896. The cubic root of 385536416 is about 727.8163405802.

The spelling of 385536416 in words is "three hundred eighty-five million, five hundred thirty-six thousand, four hundred sixteen".