401193968 has 120 divisors (see below), whose sum is σ = 994043520. Its totient is φ = 155675520.

The previous prime is 401193943. The next prime is 401193977. The reversal of 401193968 is 869391104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342023 + ... + 343193.

It is an arithmetic number, because the mean of its divisors is an integer number (8283696).

Almost surely, 2^401193968 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 401193968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497021760).

401193968 is an abundant number, since it is smaller than the sum of its proper divisors (592849552).

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

401193968 is a wasteful number, since it uses less digits than its factorization.

401193968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 401193968 is about 20029.8269588132. The cubic root of 401193968 is about 737.5386741378.

It can be divided in two parts, 4011 and 93968, that added together give a palindrome (97979).

The spelling of 401193968 in words is "four hundred one million, one hundred ninety-three thousand, nine hundred sixty-eight".