401376 has 48 divisors (see below), whose sum is σ = 1091664. Its totient is φ = 129024.

The previous prime is 401371. The next prime is 401381. The reversal of 401376 is 673104.

401376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (401371) and next prime (401381).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401376² = 322205386752, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401371) by changing a digit.

401376 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, 3496 + ... + 3608.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2⁴⁰¹³⁷⁶ is an apocalyptic number.

401376 is the 339-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545832).

401376 is an abundant number, since it is smaller than the sum of its proper divisors (690288).

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

401376 is a wasteful number, since it uses less digits than its factorization.

401376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 401376 is about 633.5424216262. The cubic root of 401376 is about 73.7650204013.

It can be divided in two parts, 401 and 376, that added together give a palindrome (777).

The spelling of 401376 in words is "four hundred one thousand, three hundred seventy-six".