404848640 has 128 divisors (see below), whose sum is σ = 1113570720. Its totient is φ = 138412032.

The previous prime is 404848597. The next prime is 404848651. The reversal of 404848640 is 46848404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 404848594 and 404848603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146704 + ... + 1147056.

Almost surely, 2^404848640 is an apocalyptic number.

404848640 is a gapful number since it is divisible by the number (40) 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 404848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556785360).

404848640 is an abundant number, since it is smaller than the sum of its proper divisors (708722080).

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

404848640 is an frugal number, since it uses more digits than its factorization.

404848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 404848640 is about 20120.8508766404. The cubic root of 404848640 is about 739.7714414666.

The spelling of 404848640 in words is "four hundred four million, eight hundred forty-eight thousand, six hundred forty".