385408 has 16 divisors (see below), whose sum is σ = 768060. Its totient is φ = 192640.

The previous prime is 385403. The next prime is 385417. The reversal of 385408 is 804583.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1378 + ... + 1633.

2³⁸⁵⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

385408 is a deficient number, since it is larger than the sum of its proper divisors (382652).

385408 is an equidigital number, since it uses as much as digits as its factorization.

385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 385408 is about 620.8123710108. The cubic root of 385408 is about 72.7735523621.

It can be divided in two parts, 385 and 408, that multiplied together give a triangular number (157080 = T₅₆₀).

The spelling of 385408 in words is "three hundred eighty-five thousand, four hundred eight".