415405 has 8 divisors (see below), whose sum is σ = 501984. Its totient is φ = 330000.

The previous prime is 415391. The next prime is 415409. The reversal of 415405 is 504514.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 415405 - 2⁹ = 414893 is a prime.

It is a super-2 number, since 2×415405² = 345122628050, which contains 22 as substring.

It is a Duffinian number.

415405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415409) 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 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (62748).

2⁴¹⁵⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

415405 is a deficient number, since it is larger than the sum of its proper divisors (86579).

415405 is a wasteful number, since it uses less digits than its factorization.

415405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 415405 is about 644.5192006449. The cubic root of 415405 is about 74.6146157037.

Adding to 415405 its reverse (504514), we get a palindrome (919919).

It can be divided in two parts, 415 and 405, that added together give a triangular number (820 = T₄₀).

The spelling of 415405 in words is "four hundred fifteen thousand, four hundred five".