402112 has 28 divisors (see below), whose sum is σ = 818896. Its totient is φ = 195840.

The previous prime is 402107. The next prime is 402131. The reversal of 402112 is 211204.

402112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

402112 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 3 ways as a sum of consecutive naturals, for example, 3853 + ... + 3955.

2⁴⁰²¹¹² 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 402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409448).

402112 is an abundant number, since it is smaller than the sum of its proper divisors (416784).

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

402112 is a wasteful number, since it uses less digits than its factorization.

402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 402112 is about 634.1230164566. The cubic root of 402112 is about 73.8100803156.

Adding to 402112 its reverse (211204), we get a palindrome (613316).

The spelling of 402112 in words is "four hundred two thousand, one hundred twelve", and thus it is an iban number.