412488 has 48 divisors (see below), whose sum is σ = 1186380. Its totient is φ = 129024.

The previous prime is 412487. The next prime is 412493. The reversal of 412488 is 884214.

It can be written as a sum of positive squares in 2 ways, for example, as 412164 + 324 = 642^2 + 18^2 .

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 1392.

2⁴¹²⁴⁸⁸ 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 412488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593190).

412488 is an abundant number, since it is smaller than the sum of its proper divisors (773892).

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

412488 is a wasteful number, since it uses less digits than its factorization.

412488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 412488 is about 642.2522868780. The cubic root of 412488 is about 74.4395557956.

It can be divided in two parts, 412 and 488, that added together give a square (900 = 30²).

The spelling of 412488 in words is "four hundred twelve thousand, four hundred eighty-eight".