404445760 has 56 divisors (see below), whose sum is σ = 965094336. Its totient is φ = 161441280.

The previous prime is 404445739. The next prime is 404445781. The reversal of 404445760 is 67544404.

It is an interprime number because it is at equal distance from previous prime (404445739) and next prime (404445781).

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 7 ways as a sum of consecutive naturals, for example, 200919 + ... + 202921.

Almost surely, 2^404445760 is an apocalyptic number.

404445760 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 404445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482547168).

404445760 is an abundant number, since it is smaller than the sum of its proper divisors (560648576).

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

404445760 is a wasteful number, since it uses less digits than its factorization.

404445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 404445760 is about 20110.8368796527. The cubic root of 404445760 is about 739.5259686266.

The spelling of 404445760 in words is "four hundred four million, four hundred forty-five thousand, seven hundred sixty".