385603416 has 160 divisors (see below), whose sum is σ = 1204346880. Its totient is φ = 114264000.

The previous prime is 385603399. The next prime is 385603417. The reversal of 385603416 is 614306583.

385603416 is a `hidden beast` number, since 3 + 8 + 5 + 603 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385603417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334441 + ... + 335591.

It is an arithmetic number, because the mean of its divisors is an integer number (7527168).

Almost surely, 2^385603416 is an apocalyptic number.

385603416 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 385603416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602173440).

385603416 is an abundant number, since it is smaller than the sum of its proper divisors (818743464).

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

385603416 is a wasteful number, since it uses less digits than its factorization.

385603416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 385603416 is about 19636.7873136112. The cubic root of 385603416 is about 727.8584990450.

Adding to 385603416 its reverse (614306583), we get a palindrome (999909999).

The spelling of 385603416 in words is "three hundred eighty-five million, six hundred three thousand, four hundred sixteen".