412624 has 40 divisors (see below), whose sum is σ = 890568. Its totient is φ = 184320.

The previous prime is 412619. The next prime is 412627. The reversal of 412624 is 426214.

It can be written as a sum of positive squares in 4 ways, for example, as 90000 + 322624 = 300^2 + 568^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10044 + ... + 10084.

2⁴¹²⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284).

412624 is an abundant number, since it is smaller than the sum of its proper divisors (477944).

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

412624 is a wasteful number, since it uses less digits than its factorization.

412624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 412624 is about 642.3581555488. The cubic root of 412624 is about 74.4477359666.

Adding to 412624 its reverse (426214), we get a palindrome (838838).

It can be divided in two parts, 41 and 2624, that multiplied together give a square (107584 = 328²).

The spelling of 412624 in words is "four hundred twelve thousand, six hundred twenty-four".