401775168 has 56 divisors (see below), whose sum is σ = 1071465472. Its totient is φ = 132862464.

The previous prime is 401775163. The next prime is 401775169. The reversal of 401775168 is 861577104.

It is a super-2 number, since 2×401775168² = 322846571242856448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401775163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16146 + ... + 32622.

It is an arithmetic number, because the mean of its divisors is an integer number (19133312).

Almost surely, 2^401775168 is an apocalyptic number.

401775168 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 401775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535732736).

401775168 is an abundant number, since it is smaller than the sum of its proper divisors (669690304).

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

401775168 is a wasteful number, since it uses less digits than its factorization.

401775168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16619 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 401775168 is about 20044.3300711199. The cubic root of 401775168 is about 737.8946537742.

The spelling of 401775168 in words is "four hundred one million, seven hundred seventy-five thousand, one hundred sixty-eight".