401868 has 36 divisors (see below), whose sum is σ = 1059240. Its totient is φ = 131760.

The previous prime is 401867. The next prime is 401887. The reversal of 401868 is 868104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a super-2 number, since 2×401868² = 322995778848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6558 + ... + 6618.

2⁴⁰¹⁸⁶⁸ 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 401868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529620).

401868 is an abundant number, since it is smaller than the sum of its proper divisors (657372).

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

401868 is a wasteful number, since it uses less digits than its factorization.

401868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 401868 is about 633.9305955702. The cubic root of 401868 is about 73.7951480715.

Multiplying 401868 by its sum of digits (27), we get a square (10850436 = 3294²).

401868 divided by its sum of digits (27) gives a square (14884 = 122²).

The spelling of 401868 in words is "four hundred one thousand, eight hundred sixty-eight".