407385 has 24 divisors (see below), whose sum is σ = 771264. Its totient is φ = 197280.

The previous prime is 407383. The next prime is 407401. The reversal of 407385 is 583704.

It is not a de Polignac number, because 407385 - 2¹ = 407383 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (32136).

2⁴⁰⁷³⁸⁵ is an apocalyptic number.

407385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407385 is a deficient number, since it is larger than the sum of its proper divisors (363879).

407385 is a wasteful number, since it uses less digits than its factorization.

407385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 407385 is about 638.2671854326. The cubic root of 407385 is about 74.1313105618.

The spelling of 407385 in words is "four hundred seven thousand, three hundred eighty-five".