404283648 has 72 divisors (see below), whose sum is σ = 1110758656. Its totient is φ = 130406400.

The previous prime is 404283643. The next prime is 404283667. The reversal of 404283648 is 846382404.

It is not an unprimeable number, because it can be changed into a prime (404283643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15318 + ... + 32298.

Almost surely, 2^404283648 is an apocalyptic number.

404283648 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 404283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555379328).

404283648 is an abundant number, since it is smaller than the sum of its proper divisors (706475008).

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

404283648 is a wasteful number, since it uses less digits than its factorization.

404283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17031 (or 17017 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 404283648 is about 20106.8060118956. The cubic root of 404283648 is about 739.4271485729.

The spelling of 404283648 in words is "four hundred four million, two hundred eighty-three thousand, six hundred forty-eight".