412848 has 60 divisors (see below), whose sum is σ = 1199328. Its totient is φ = 132480.

The previous prime is 412831. The next prime is 412849. The reversal of 412848 is 848214.

It is a super-2 number, since 2×412848² = 340886942208, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (412849) by changing a digit.

412848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6738 + ... + 6798.

2⁴¹²⁸⁴⁸ is an apocalyptic number.

412848 is a gapful number since it is divisible by the number (48) 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 412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599664).

412848 is an abundant number, since it is smaller than the sum of its proper divisors (786480).

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

412848 is a wasteful number, since it uses less digits than its factorization.

412848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

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

The square root of 412848 is about 642.5324894509. The cubic root of 412848 is about 74.4612052721.

The spelling of 412848 in words is "four hundred twelve thousand, eight hundred forty-eight".