385523424 has 432 divisors, whose sum is σ = 1390779936. Its totient is φ = 100362240.

The previous prime is 385523393. The next prime is 385523441. The reversal of 385523424 is 424325583.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 10419534 + ... + 10419570.

It is an arithmetic number, because the mean of its divisors is an integer number (3219398).

Almost surely, 2^385523424 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 385523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695389968).

385523424 is an abundant number, since it is smaller than the sum of its proper divisors (1005256512).

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

385523424 is a wasteful number, since it uses less digits than its factorization.

385523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 385523424 is about 19634.7504185818. The cubic root of 385523424 is about 727.8081650480.

The spelling of 385523424 in words is "three hundred eighty-five million, five hundred twenty-three thousand, four hundred twenty-four".