401031168 has 120 divisors (see below), whose sum is σ = 1100971200. Its totient is φ = 129761280.

The previous prime is 401031167. The next prime is 401031179. The reversal of 401031168 is 861130104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401031167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2015133 + ... + 2015331.

It is an arithmetic number, because the mean of its divisors is an integer number (9174760).

Almost surely, 2^401031168 is an apocalyptic number.

401031168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550485600).

401031168 is an abundant number, since it is smaller than the sum of its proper divisors (699940032).

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

401031168 is an equidigital number, since it uses as much as digits as its factorization.

401031168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 401031168 is about 20025.7626072018. The cubic root of 401031168 is about 737.4388990077.

The spelling of 401031168 in words is "four hundred one million, thirty-one thousand, one hundred sixty-eight".