401268 has 48 divisors (see below), whose sum is σ = 1137024. Its totient is φ = 107520.

The previous prime is 401243. The next prime is 401279. The reversal of 401268 is 862104.

401268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401268² = 322032015648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2⁴⁰¹²⁶⁸ 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 401268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568512).

401268 is an abundant number, since it is smaller than the sum of its proper divisors (735756).

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

401268 is a wasteful number, since it uses less digits than its factorization.

401268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 401268 is about 633.4571808733. The cubic root of 401268 is about 73.7584037154.

The spelling of 401268 in words is "four hundred one thousand, two hundred sixty-eight".