404415 has 48 divisors (see below), whose sum is σ = 823680. Its totient is φ = 181440.

The previous prime is 404399. The next prime is 404419. The reversal of 404415 is 514404.

It is not a de Polignac number, because 404415 - 2⁴ = 404399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9384 + ... + 9426.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2⁴⁰⁴⁴¹⁵ is an apocalyptic number.

404415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

404415 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

404415 is a wasteful number, since it uses less digits than its factorization.

404415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 404415 is about 635.9363175665. The cubic root of 404415 is about 73.9507220010.

Adding to 404415 its reverse (514404), we get a palindrome (918819).

The spelling of 404415 in words is "four hundred four thousand, four hundred fifteen".