409480848 has 180 divisors, whose sum is σ = 1346284368. Its totient is φ = 115839360.

The previous prime is 409480843. The next prime is 409480849. The reversal of 409480848 is 848084904.

It is not an unprimeable number, because it can be changed into a prime (409480843) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 924115 + ... + 924557.

Almost surely, 2^409480848 is an apocalyptic number.

409480848 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 409480848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673142184).

409480848 is an abundant number, since it is smaller than the sum of its proper divisors (936803520).

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

409480848 is a wasteful number, since it uses less digits than its factorization.

409480848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 409480848 is about 20235.6331257512. The cubic root of 409480848 is about 742.5821940774.

The spelling of 409480848 in words is "four hundred nine million, four hundred eighty thousand, eight hundred forty-eight".