385216416 has 144 divisors (see below), whose sum is σ = 1218147840. Its totient is φ = 114670080.

The previous prime is 385216411. The next prime is 385216427. The reversal of 385216416 is 614612583.

It is a happy number.

385216416 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (385216411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114405 + ... + 117723.

It is an arithmetic number, because the mean of its divisors is an integer number (8459360).

Almost surely, 2^385216416 is an apocalyptic number.

385216416 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 385216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609073920).

385216416 is an abundant number, since it is smaller than the sum of its proper divisors (832931424).

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

385216416 is a wasteful number, since it uses less digits than its factorization.

385216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3368 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 385216416 is about 19626.9308859027. The cubic root of 385216416 is about 727.6149193171.

Adding to 385216416 its reverse (614612583), we get a palindrome (999828999).

The spelling of 385216416 in words is "three hundred eighty-five million, two hundred sixteen thousand, four hundred sixteen".