401027968 has 64 divisors (see below), whose sum is σ = 875600640. Its totient is φ = 181440000.

The previous prime is 401027959. The next prime is 401027981. The reversal of 401027968 is 869720104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×401027968² = 321646862236418048, 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 7 ways as a sum of consecutive naturals, for example, 381043 + ... + 382093.

It is an arithmetic number, because the mean of its divisors is an integer number (13681260).

Almost surely, 2^401027968 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 401027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437800320).

401027968 is an abundant number, since it is smaller than the sum of its proper divisors (474572672).

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

401027968 is a wasteful number, since it uses less digits than its factorization.

401027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 401027968 is about 20025.6827099602. The cubic root of 401027968 is about 737.4369375552.

The spelling of 401027968 in words is "four hundred one million, twenty-seven thousand, nine hundred sixty-eight".