401565568 has 64 divisors (see below), whose sum is σ = 874523520. Its totient is φ = 182845440.

The previous prime is 401565539. The next prime is 401565569. The reversal of 401565568 is 865565104.

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

It is a super-2 number, since 2×401565568² = 322509810806325248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401565568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401565569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64480 + ... + 70432.

It is an arithmetic number, because the mean of its divisors is an integer number (13664430).

Almost surely, 2^401565568 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 401565568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437261760).

401565568 is an abundant number, since it is smaller than the sum of its proper divisors (472957952).

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

401565568 is a wasteful number, since it uses less digits than its factorization.

401565568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 401565568 is about 20039.1009778383. The cubic root of 401565568 is about 737.7663153114.

The spelling of 401565568 in words is "four hundred one million, five hundred sixty-five thousand, five hundred sixty-eight".