409171984 has 45 divisors (see below), whose sum is σ = 860656503. Its totient is φ = 188363136.

The previous prime is 409171967. The next prime is 409171993. The reversal of 409171984 is 489171904.

The square root of 409171984 is 20228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 157251600 + 251920384 = 12540^2 + 15872^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409171984.

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 8 ways as a sum of consecutive naturals, for example, 1051662 + ... + 1052050.

Almost surely, 2^409171984 is an apocalyptic number.

409171984 is the 20228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409171984

409171984 is an abundant number, since it is smaller than the sum of its proper divisors (451484519).

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

409171984 is an equidigital number, since it uses as much as digits as its factorization.

409171984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The cubic root of 409171984 is about 742.3954416740.

The spelling of 409171984 in words is "four hundred nine million, one hundred seventy-one thousand, nine hundred eighty-four".