415506 has 32 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 109440.

The previous prime is 415489. The next prime is 415507. The reversal of 415506 is 605514.

It is a happy number.

It is a super-3 number, since 3×415506³ = 215205394333122648, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415507) 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, 166 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2⁴¹⁵⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

415506 is an abundant number, since it is smaller than the sum of its proper divisors (608622).

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

415506 is a wasteful number, since it uses less digits than its factorization.

415506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 415506 is about 644.5975488629. The cubic root of 415506 is about 74.6206623855.

The spelling of 415506 in words is "four hundred fifteen thousand, five hundred six".