385668192 has 192 divisors, whose sum is σ = 1259241984. Its totient is φ = 100638720.

The previous prime is 385668167. The next prime is 385668293. The reversal of 385668192 is 291866583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144248 + ... + 1144584.

It is an arithmetic number, because the mean of its divisors is an integer number (6558552).

Almost surely, 2^385668192 is an apocalyptic number.

385668192 is a gapful number since it is divisible by the number (32) 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 385668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629620992).

385668192 is an abundant number, since it is smaller than the sum of its proper divisors (873573792).

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

385668192 is a wasteful number, since it uses less digits than its factorization.

385668192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 385668192 is about 19638.4365976521. The cubic root of 385668192 is about 727.8992534578.

The spelling of 385668192 in words is "three hundred eighty-five million, six hundred sixty-eight thousand, one hundred ninety-two".