404012928 has 128 divisors (see below), whose sum is σ = 1183559040. Its totient is φ = 121088000.

The previous prime is 404012923. The next prime is 404012929. The reversal of 404012928 is 829210404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×404012928² = 326452891982266368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404012895 and 404012904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404012923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426151 + ... + 427097.

It is an arithmetic number, because the mean of its divisors is an integer number (9246555).

Almost surely, 2^404012928 is an apocalyptic number.

404012928 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 404012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591779520).

404012928 is an abundant number, since it is smaller than the sum of its proper divisors (779546112).

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

404012928 is a wasteful number, since it uses less digits than its factorization.

404012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 404012928 is about 20100.0728356889. The cubic root of 404012928 is about 739.2620644652.

The spelling of 404012928 in words is "four hundred four million, twelve thousand, nine hundred twenty-eight".