409779048 has 128 divisors (see below), whose sum is σ = 1219680000. Its totient is φ = 112250880.

The previous prime is 409779043. The next prime is 409779079. The reversal of 409779048 is 840977904.

It is a happy number.

It is a Cunningham number, because it is equal to 20243²-1.

It is a junction number, because it is equal to n+sod(n) for n = 409778988 and 409779006.

It is not an unprimeable number, because it can be changed into a prime (409779043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173978 + ... + 1174326.

It is an arithmetic number, because the mean of its divisors is an integer number (9528750).

Almost surely, 2^409779048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409779048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840000).

409779048 is an abundant number, since it is smaller than the sum of its proper divisors (809900952).

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

409779048 is a wasteful number, since it uses less digits than its factorization.

409779048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 409779048 is about 20242.9999753001. Note that the first 4 decimals coincide. The cubic root of 409779048 is about 742.7624094890.

The spelling of 409779048 in words is "four hundred nine million, seven hundred seventy-nine thousand, forty-eight".