416385 has 24 divisors (see below), whose sum is σ = 761280. Its totient is φ = 209952.

The previous prime is 416359. The next prime is 416387. The reversal of 416385 is 583614.

It is not a de Polignac number, because 416385 - 2⁷ = 416257 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (416387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (31720).

2⁴¹⁶³⁸⁵ is an apocalyptic number.

416385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416385 is a deficient number, since it is larger than the sum of its proper divisors (344895).

416385 is a wasteful number, since it uses less digits than its factorization.

416385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 514 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 416385 is about 645.2790094215. The cubic root of 416385 is about 74.6732451510.

Adding to 416385 its reverse (583614), we get a palindrome (999999).

The spelling of 416385 in words is "four hundred sixteen thousand, three hundred eighty-five".