404320464 has 80 divisors (see below), whose sum is σ = 1182513600. Its totient is φ = 132223104.

The previous prime is 404320457. The next prime is 404320481. The reversal of 404320464 is 464023404.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 14067 + ... + 31725.

It is an arithmetic number, because the mean of its divisors is an integer number (14781420).

Almost surely, 2^404320464 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 404320464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591256800).

404320464 is an abundant number, since it is smaller than the sum of its proper divisors (778193136).

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

404320464 is a wasteful number, since it uses less digits than its factorization.

404320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17729 (or 17717 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 404320464 is about 20107.7215019504. The cubic root of 404320464 is about 739.4495931476.

Adding to 404320464 its reverse (464023404), we get a palindrome (868343868).

The spelling of 404320464 in words is "four hundred four million, three hundred twenty thousand, four hundred sixty-four".