404585727228 has 96 divisors (see below), whose sum is σ = 1064152678400. Its totient is φ = 132907174272.

The previous prime is 404585727223. The next prime is 404585727229. The reversal of 404585727228 is 822727585404.

It is a happy number.

404585727228 is a `hidden beast` number, since 4 + 0 + 45 + 8 + 572 + 7 + 2 + 28 = 666.

It is a super-2 number, since 2×404585727228² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404585727223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10063575 + ... + 10103697.

Almost surely, 2^404585727228 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 404585727228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532076339200).

404585727228 is an abundant number, since it is smaller than the sum of its proper divisors (659566951172).

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

404585727228 is a wasteful number, since it uses less digits than its factorization.

404585727228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41488 (or 41480 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 404585727228 in words is "four hundred four billion, five hundred eighty-five million, seven hundred twenty-seven thousand, two hundred twenty-eight".