440480000 has 90 divisors (see below), whose sum is σ = 1099096614. Its totient is φ = 176128000.

The previous prime is 440479999. The next prime is 440480039. The reversal of 440480000 is 84044.

It can be written as a sum of positive squares in 5 ways, for example, as 72454144 + 368025856 = 8512^2 + 19184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 158624 + ... + 161376.

Almost surely, 2^440480000 is an apocalyptic number.

440480000 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 440480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549548307).

440480000 is an abundant number, since it is smaller than the sum of its proper divisors (658616614).

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

440480000 is an frugal number, since it uses more digits than its factorization.

440480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 440480000 is about 20987.6153957518. The cubic root of 440480000 is about 760.8669700000.

The spelling of 440480000 in words is "four hundred forty million, four hundred eighty thousand".