440080000 has 80 divisors (see below), whose sum is σ = 1095750810. Its totient is φ = 176000000.

The previous prime is 440079971. The next prime is 440080009. The reversal of 440080000 is 80044.

It can be written as a sum of positive squares in 5 ways, for example, as 77862976 + 362217024 = 8824^2 + 19032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (440080009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77250 + ... + 82750.

Almost surely, 2^440080000 is an apocalyptic number.

440080000 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 440080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547875405).

440080000 is an abundant number, since it is smaller than the sum of its proper divisors (655670810).

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

440080000 is an frugal number, since it uses more digits than its factorization.

440080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 440080000 is about 20978.0838019110. The cubic root of 440080000 is about 760.6365857523.

The spelling of 440080000 in words is "four hundred forty million, eighty thousand".