404779648 has 256 divisors, whose sum is σ = 1096704000. Its totient is φ = 144322560.

The previous prime is 404779631. The next prime is 404779699. The reversal of 404779648 is 846977404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6860643 + ... + 6860701.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^404779648 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 404779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352000).

404779648 is an abundant number, since it is smaller than the sum of its proper divisors (691924352).

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

404779648 is a wasteful number, since it uses less digits than its factorization.

404779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The square root of 404779648 is about 20119.1363631742. The cubic root of 404779648 is about 739.7294165337.

The spelling of 404779648 in words is "four hundred four million, seven hundred seventy-nine thousand, six hundred forty-eight".