412544 has 32 divisors (see below), whose sum is σ = 899640. Its totient is φ = 186880.

The previous prime is 412537. The next prime is 412561. The reversal of 412544 is 445214.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

412544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262 + ... + 1554.

2⁴¹²⁵⁴⁴ is an apocalyptic number.

412544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449820).

412544 is an abundant number, since it is smaller than the sum of its proper divisors (487096).

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

412544 is a wasteful number, since it uses less digits than its factorization.

412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 412544 is about 642.2958819734. The cubic root of 412544 is about 74.4429243190.

Adding to 412544 its reverse (445214), we get a palindrome (857758).

It can be divided in two parts, 4 and 12544, that multiplied together give a square (50176 = 224²).

The spelling of 412544 in words is "four hundred twelve thousand, five hundred forty-four".