385441 has 16 divisors (see below), whose sum is σ = 483840. Its totient is φ = 299520.

The previous prime is 385433. The next prime is 385471. The reversal of 385441 is 144583.

385441 = T₁₈₁ + T₁₈₂ + ... + T₂₀₁.

It is a cyclic number.

It is not a de Polignac number, because 385441 - 2³ = 385433 is a prime.

385441 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840 + ... + 4918.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³⁸⁵⁴⁴¹ is an apocalyptic number.

It is an amenable number.

385441 is a deficient number, since it is larger than the sum of its proper divisors (98399).

385441 is a wasteful number, since it uses less digits than its factorization.

385441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 1920, while the sum is 25.

The square root of 385441 is about 620.8389485205. The cubic root of 385441 is about 72.7756293461.

The spelling of 385441 in words is "three hundred eighty-five thousand, four hundred forty-one".