404938368 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 113541120.

The previous prime is 404938327. The next prime is 404938403. The reversal of 404938368 is 863839404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13062513 + ... + 13062543.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^404938368 is an apocalyptic number.

404938368 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 404938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

404938368 is an abundant number, since it is smaller than the sum of its proper divisors (969858432).

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

404938368 is a wasteful number, since it uses less digits than its factorization.

404938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 404938368 is about 20123.0804798868. The cubic root of 404938368 is about 739.8260901279.

The spelling of 404938368 in words is "four hundred four million, nine hundred thirty-eight thousand, three hundred sixty-eight".