404630128 has 40 divisors (see below), whose sum is σ = 903053312. Its totient is φ = 172041408.

The previous prime is 404630119. The next prime is 404630153. The reversal of 404630128 is 821036404.

404630128 is a nontrivial binomial coefficient, being equal to C(28448, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 404630096 and 404630105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 28447.

Almost surely, 2^404630128 is an apocalyptic number.

404630128 is the 28447-th triangular number and also the 14224-th hexagonal number.

404630128 is the 9483-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404630128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451526656).

404630128 is an abundant number, since it is smaller than the sum of its proper divisors (498423184).

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

404630128 is a wasteful number, since it uses less digits than its factorization.

404630128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28589 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 404630128 is about 20115.4201546972. The cubic root of 404630128 is about 739.6383233803.

The spelling of 404630128 in words is "four hundred four million, six hundred thirty thousand, one hundred twenty-eight".