404484768 has 144 divisors (see below), whose sum is σ = 1220244480. Its totient is φ = 126738432.

The previous prime is 404484767. The next prime is 404484781. The reversal of 404484768 is 867484404.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (404484767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055905 + ... + 1056287.

It is an arithmetic number, because the mean of its divisors is an integer number (8473920).

Almost surely, 2^404484768 is an apocalyptic number.

404484768 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 404484768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610122240).

404484768 is an abundant number, since it is smaller than the sum of its proper divisors (815759712).

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

404484768 is a wasteful number, since it uses less digits than its factorization.

404484768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 404484768 is about 20111.8066816485. The cubic root of 404484768 is about 739.5497431385.

The spelling of 404484768 in words is "four hundred four million, four hundred eighty-four thousand, seven hundred sixty-eight".