402016 has 24 divisors (see below), whose sum is σ = 839160. Its totient is φ = 188928.

The previous prime is 401993. The next prime is 402023. The reversal of 402016 is 610204.

It is a junction number, because it is equal to n+sod(n) for n = 401987 and 402005.

It is a congruent number.

It is an unprimeable number.

402016 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, 175 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁴⁰²⁰¹⁶ 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 402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419580).

402016 is an abundant number, since it is smaller than the sum of its proper divisors (437144).

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

402016 is a wasteful number, since it uses less digits than its factorization.

402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 402016 is about 634.0473168463. The cubic root of 402016 is about 73.8042060553.

The spelling of 402016 in words is "four hundred two thousand, sixteen".