404806248 has 480 divisors, whose sum is σ = 1539410400. Its totient is φ = 97977600.

The previous prime is 404806231. The next prime is 404806249. The reversal of 404806248 is 842608404.

404806248 is a `hidden beast` number, since 404 + 8 + 0 + 6 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404806249) 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 119 ways as a sum of consecutive naturals, for example, 6636138 + ... + 6636198.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^404806248 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 404806248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769705200).

404806248 is an abundant number, since it is smaller than the sum of its proper divisors (1134604152).

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

404806248 is a wasteful number, since it uses less digits than its factorization.

404806248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 404806248 is about 20119.7974144871. The cubic root of 404806248 is about 739.7456198941.

The spelling of 404806248 in words is "four hundred four million, eight hundred six thousand, two hundred forty-eight".