404126928 has 160 divisors (see below), whose sum is σ = 1226707200. Its totient is φ = 127125504.

The previous prime is 404126923. The next prime is 404126939. The reversal of 404126928 is 829621404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404126892 and 404126901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404126923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884076 + ... + 884532.

It is an arithmetic number, because the mean of its divisors is an integer number (7666920).

Almost surely, 2^404126928 is an apocalyptic number.

404126928 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 404126928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613353600).

404126928 is an abundant number, since it is smaller than the sum of its proper divisors (822580272).

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

404126928 is a wasteful number, since it uses less digits than its factorization.

404126928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 404126928 is about 20102.9084462920. The cubic root of 404126928 is about 739.3315902518.

The spelling of 404126928 in words is "four hundred four million, one hundred twenty-six thousand, nine hundred twenty-eight".