401179968 has 336 divisors, whose sum is σ = 1407444480. Its totient is φ = 106831872.

The previous prime is 401179963. The next prime is 401179969. The reversal of 401179968 is 869971104.

401179968 = 244³ + 245³ + ... + 267³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401179963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5495580 + ... + 5495652.

Almost surely, 2^401179968 is an apocalyptic number.

401179968 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 401179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703722240).

401179968 is an abundant number, since it is smaller than the sum of its proper divisors (1006264512).

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

401179968 is a wasteful number, since it uses less digits than its factorization.

401179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 401179968 is about 20029.4774769588. The cubic root of 401179968 is about 737.5300950278.

The spelling of 401179968 in words is "four hundred one million, one hundred seventy-nine thousand, nine hundred sixty-eight".