409446048 has 96 divisors (see below), whose sum is σ = 1234275840. Its totient is φ = 117538560.

The previous prime is 409446031. The next prime is 409446061. The reversal of 409446048 is 840644904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 409445997 and 409446015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9861 + ... + 30267.

It is an arithmetic number, because the mean of its divisors is an integer number (12857040).

Almost surely, 2^409446048 is an apocalyptic number.

409446048 is a gapful number since it is divisible by the number (48) 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 409446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617137920).

409446048 is an abundant number, since it is smaller than the sum of its proper divisors (824829792).

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

409446048 is a wasteful number, since it uses less digits than its factorization.

409446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20442 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 409446048 is about 20234.7732381660. The cubic root of 409446048 is about 742.5611572022.

The spelling of 409446048 in words is "four hundred nine million, four hundred forty-six thousand, forty-eight".