385390144 has 28 divisors (see below), whose sum is σ = 772343388. Its totient is φ = 190784000.

The previous prime is 385390133. The next prime is 385390151. The reversal of 385390144 is 441093583.

It can be written as a sum of positive squares in 2 ways, for example, as 350438400 + 34951744 = 18720^2 + 5912^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23347 + ... + 36274.

Almost surely, 2^385390144 is an apocalyptic number.

It is an amenable number.

385390144 is an abundant number, since it is smaller than the sum of its proper divisors (386953244).

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

385390144 is a wasteful number, since it uses less digits than its factorization.

385390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59734 (or 59724 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 385390144 is about 19631.3561426612. The cubic root of 385390144 is about 727.7242847556.

The spelling of 385390144 in words is "three hundred eighty-five million, three hundred ninety thousand, one hundred forty-four".