404445960 has 160 divisors (see below), whose sum is σ = 1391480640. Its totient is φ = 105307776.

The previous prime is 404445953. The next prime is 404445967. The reversal of 404445960 is 69544404.

It is an interprime number because it is at equal distance from previous prime (404445953) and next prime (404445967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404445967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137869 + ... + 140771.

It is an arithmetic number, because the mean of its divisors is an integer number (8696754).

Almost surely, 2^404445960 is an apocalyptic number.

404445960 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 404445960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695740320).

404445960 is an abundant number, since it is smaller than the sum of its proper divisors (987034680).

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

404445960 is a wasteful number, since it uses less digits than its factorization.

404445960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 404445960 is about 20110.8418520956. The cubic root of 404445960 is about 739.5260905261.

The spelling of 404445960 in words is "four hundred four million, four hundred forty-five thousand, nine hundred sixty".