385268544 has 42 divisors (see below), whose sum is σ = 1104304370. Its totient is φ = 128422656.

The previous prime is 385268503. The next prime is 385268557. The reversal of 385268544 is 445862583.

385268544 is a `hidden beast` number, since 3 + 8 + 526 + 85 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 377913600 + 7354944 = 19440^2 + 2712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385268544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333859 + ... + 335010.

Almost surely, 2^385268544 is an apocalyptic number.

It is an amenable number.

385268544 is an abundant number, since it is smaller than the sum of its proper divisors (719035826).

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

385268544 is a wasteful number, since it uses less digits than its factorization.

385268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668887 (or 668874 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 385268544 is about 19628.2588122329. The cubic root of 385268544 is about 727.6477384444.

The spelling of 385268544 in words is "three hundred eighty-five million, two hundred sixty-eight thousand, five hundred forty-four".