401288852 has 12 divisors (see below), whose sum is σ = 703262196. Its totient is φ = 200356800.

The previous prime is 401288851. The next prime is 401288861. The reversal of 401288852 is 258882104.

It can be written as a sum of positive squares in 2 ways, for example, as 126922756 + 274366096 = 11266^2 + 16564^2 .

It is a super-2 number, since 2×401288852² = 322065485478955808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401288851) 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 3 ways as a sum of consecutive naturals, for example, 68753 + ... + 74360.

It is an arithmetic number, because the mean of its divisors is an integer number (58605183).

Almost surely, 2^401288852 is an apocalyptic number.

It is an amenable number.

401288852 is a deficient number, since it is larger than the sum of its proper divisors (301973344).

401288852 is a wasteful number, since it uses less digits than its factorization.

401288852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143818 (or 143816 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 401288852 is about 20032.1953864273. The cubic root of 401288852 is about 737.5968131835.

The spelling of 401288852 in words is "four hundred one million, two hundred eighty-eight thousand, eight hundred fifty-two".