412590 has 32 divisors (see below), whose sum is σ = 1049760. Its totient is φ = 103424.

The previous prime is 412589. The next prime is 412591. The reversal of 412590 is 95214.

It is an interprime number because it is at equal distance from previous prime (412589) and next prime (412591).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412591) 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 15 ways as a sum of consecutive naturals, for example, 106 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

2⁴¹²⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524880).

412590 is an abundant number, since it is smaller than the sum of its proper divisors (637170).

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

412590 is a wasteful number, since it uses less digits than its factorization.

412590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 412590 is about 642.3316900169. The cubic root of 412590 is about 74.4456910924.

The spelling of 412590 in words is "four hundred twelve thousand, five hundred ninety".