385449840 has 200 divisors, whose sum is σ = 1417878000. Its totient is φ = 96712704.

The previous prime is 385449811. The next prime is 385449853. The reversal of 385449840 is 48944583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 108411 + ... + 111909.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^385449840 is an apocalyptic number.

385449840 is a gapful number since it is divisible by the number (30) 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 385449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708939000).

385449840 is an abundant number, since it is smaller than the sum of its proper divisors (1032428160).

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

385449840 is a wasteful number, since it uses less digits than its factorization.

385449840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 385449840 is about 19632.8765085507. The cubic root of 385449840 is about 727.7618570588.

It can be divided in two parts, 38544 and 9840, that added together give a palindrome (48384).

The spelling of 385449840 in words is "three hundred eighty-five million, four hundred forty-nine thousand, eight hundred forty".