401076 has 36 divisors (see below), whose sum is σ = 1093092. Its totient is φ = 123264.

The previous prime is 401069. The next prime is 401077. The reversal of 401076 is 670104.

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 176400 = 474^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401077) by changing a digit.

401076 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 11 ways as a sum of consecutive naturals, for example, 40 + ... + 896.

2⁴⁰¹⁰⁷⁶ 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 401076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546546).

401076 is an abundant number, since it is smaller than the sum of its proper divisors (692016).

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

401076 is a wasteful number, since it uses less digits than its factorization.

401076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401076 is about 633.3056134285. The cubic root of 401076 is about 73.7466377860.

The spelling of 401076 in words is "four hundred one thousand, seventy-six".