404661320 has 64 divisors (see below), whose sum is σ = 1045267200. Its totient is φ = 138113280.

The previous prime is 404661293. The next prime is 404661329. The reversal of 404661320 is 23166404.

It is a self number, because there is not a number n which added to its sum of digits gives 404661320.

It is not an unprimeable number, because it can be changed into a prime (404661329) 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 15 ways as a sum of consecutive naturals, for example, 60965 + ... + 67275.

It is an arithmetic number, because the mean of its divisors is an integer number (16332300).

Almost surely, 2^404661320 is an apocalyptic number.

404661320 is a gapful number since it is divisible by the number (40) 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 404661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522633600).

404661320 is an abundant number, since it is smaller than the sum of its proper divisors (640605880).

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

404661320 is a wasteful number, since it uses less digits than its factorization.

404661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 404661320 is about 20116.1954653458. The cubic root of 404661320 is about 739.6573285607.

The spelling of 404661320 in words is "four hundred four million, six hundred sixty-one thousand, three hundred twenty".