401016 has 96 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 100800.

The previous prime is 400997. The next prime is 401017. The reversal of 401016 is 610104.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 400992 and 401010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401017) by changing a digit.

401016 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 23 ways as a sum of consecutive naturals, for example, 12921 + ... + 12951.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2⁴⁰¹⁰¹⁶ 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 401016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

401016 is an abundant number, since it is smaller than the sum of its proper divisors (912264).

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

401016 is a wasteful number, since it uses less digits than its factorization.

401016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 401016 is about 633.2582411623. The cubic root of 401016 is about 73.7429601630.

The spelling of 401016 in words is "four hundred one thousand, sixteen".