401326968 has 128 divisors (see below), whose sum is σ = 1228032000. Its totient is φ = 106738560.

The previous prime is 401326921. The next prime is 401326979. The reversal of 401326968 is 869623104.

It is a super-2 number, since 2×401326968² = 322126670488146048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187263 + ... + 189393.

It is an arithmetic number, because the mean of its divisors is an integer number (9594000).

Almost surely, 2^401326968 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 401326968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614016000).

401326968 is an abundant number, since it is smaller than the sum of its proper divisors (826705032).

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

401326968 is a wasteful number, since it uses less digits than its factorization.

401326968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 401326968 is about 20033.1467323534. The cubic root of 401326968 is about 737.6201657303.

The spelling of 401326968 in words is "four hundred one million, three hundred twenty-six thousand, nine hundred sixty-eight".