404085252 has 48 divisors (see below), whose sum is σ = 986711040. Its totient is φ = 128465568.

The previous prime is 404085239. The next prime is 404085263. The reversal of 404085252 is 252580404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102673 + ... + 106535.

It is an arithmetic number, because the mean of its divisors is an integer number (20556480).

Almost surely, 2^404085252 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 404085252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493355520).

404085252 is an abundant number, since it is smaller than the sum of its proper divisors (582625788).

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

404085252 is a wasteful number, since it uses less digits than its factorization.

404085252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 404085252 is about 20101.8718531385. The cubic root of 404085252 is about 739.3061746044.

The spelling of 404085252 in words is "four hundred four million, eighty-five thousand, two hundred fifty-two".