385165416 has 64 divisors (see below), whose sum is σ = 1032782400. Its totient is φ = 119328768.

The previous prime is 385165411. The next prime is 385165427. The reversal of 385165416 is 614561583.

It is not an unprimeable number, because it can be changed into a prime (385165411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16200 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (16137225).

Almost surely, 2^385165416 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 385165416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516391200).

385165416 is an abundant number, since it is smaller than the sum of its proper divisors (647616984).

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

385165416 is a wasteful number, since it uses less digits than its factorization.

385165416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16018 (or 16014 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 385165416 is about 19625.6316076706. The cubic root of 385165416 is about 727.5828074988.

The spelling of 385165416 in words is "three hundred eighty-five million, one hundred sixty-five thousand, four hundred sixteen".