412888 has 32 divisors (see below), whose sum is σ = 905760. Its totient is φ = 172800.

The previous prime is 412859. The next prime is 412891. The reversal of 412888 is 888214.

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

It is a congruent number.

It is an unprimeable number.

412888 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 7 ways as a sum of consecutive naturals, for example, 4038 + ... + 4138.

It is an arithmetic number, because the mean of its divisors is an integer number (28305).

2⁴¹²⁸⁸⁸ 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 412888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452880).

412888 is an abundant number, since it is smaller than the sum of its proper divisors (492872).

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

412888 is a wasteful number, since it uses less digits than its factorization.

412888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 412888 is about 642.5636155277. The cubic root of 412888 is about 74.4636099925.

The spelling of 412888 in words is "four hundred twelve thousand, eight hundred eighty-eight".