409128080 has 80 divisors (see below), whose sum is σ = 988032000. Its totient is φ = 157386240.

The previous prime is 409128047. The next prime is 409128113. The reversal of 409128080 is 80821904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409128047) and next prime (409128113).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493106 + ... + 493934.

It is an arithmetic number, because the mean of its divisors is an integer number (12350400).

Almost surely, 2^409128080 is an apocalyptic number.

409128080 is a gapful number since it is divisible by the number (40) 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 409128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494016000).

409128080 is an abundant number, since it is smaller than the sum of its proper divisors (578903920).

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

409128080 is a wasteful number, since it uses less digits than its factorization.

409128080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 409128080 is about 20226.9147424910. The cubic root of 409128080 is about 742.3688878070.

Adding to 409128080 its reverse (80821904), we get a palindrome (489949984).

The spelling of 409128080 in words is "four hundred nine million, one hundred twenty-eight thousand, eighty".