409006128 has 40 divisors (see below), whose sum is σ = 1118754288. Its totient is φ = 128315392.

The previous prime is 409006121. The next prime is 409006133. The reversal of 409006128 is 821600904.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 409006095 and 409006104.

It is not an unprimeable number, because it can be changed into a prime (409006121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249801 + ... + 251432.

Almost surely, 2^409006128 is an apocalyptic number.

409006128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409006128 is an abundant number, since it is smaller than the sum of its proper divisors (709748160).

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

409006128 is a wasteful number, since it uses less digits than its factorization.

409006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501261 (or 501255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 409006128 is about 20223.8999206385. The cubic root of 409006128 is about 742.2951192474.

The spelling of 409006128 in words is "four hundred nine million, six thousand, one hundred twenty-eight".