406848 has 56 divisors (see below), whose sum is σ = 1166368. Its totient is φ = 124416.

The previous prime is 406837. The next prime is 406859. The reversal of 406848 is 848604.

It is an interprime number because it is at equal distance from previous prime (406837) and next prime (406859).

It is a congruent number.

It is an unprimeable number.

406848 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 7 ways as a sum of consecutive naturals, for example, 2415 + ... + 2577.

It is an arithmetic number, because the mean of its divisors is an integer number (20828).

2⁴⁰⁶⁸⁴⁸ is an apocalyptic number.

406848 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 406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583184).

406848 is an abundant number, since it is smaller than the sum of its proper divisors (759520).

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

406848 is a wasteful number, since it uses less digits than its factorization.

406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 406848 is about 637.8463764889. The cubic root of 406848 is about 74.0987238457.

The spelling of 406848 in words is "four hundred six thousand, eight hundred forty-eight".