404441728 has 32 divisors (see below), whose sum is σ = 820939860. Its totient is φ = 198402048.

The previous prime is 404441701. The next prime is 404441731. The reversal of 404441728 is 827144404.

It can be written as a sum of positive squares in 2 ways, for example, as 321413184 + 83028544 = 17928^2 + 9112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×404441728² = 327146222695251968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404441693 and 404441702.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23025 + ... + 36592.

Almost surely, 2^404441728 is an apocalyptic number.

It is an amenable number.

404441728 is an abundant number, since it is smaller than the sum of its proper divisors (416498132).

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

404441728 is an equidigital number, since it uses as much as digits as its factorization.

404441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59684 (or 59672 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The square root of 404441728 is about 20110.7366349420. The cubic root of 404441728 is about 739.5235111247.

The spelling of 404441728 in words is "four hundred four million, four hundred forty-one thousand, seven hundred twenty-eight".