440672000 has 144 divisors (see below), whose sum is σ = 1124952192. Its totient is φ = 171929600.

The previous prime is 440671981. The next prime is 440672021. The reversal of 440672000 is 276044.

It is a super-3 number, since 3×440672000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503854 + ... + 1504146.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^440672000 is an apocalyptic number.

440672000 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 440672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562476096).

440672000 is an abundant number, since it is smaller than the sum of its proper divisors (684280192).

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

440672000 is an equidigital number, since it uses as much as digits as its factorization.

440672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 440672000 is about 20992.1890235392. The cubic root of 440672000 is about 760.9775048995.

The spelling of 440672000 in words is "four hundred forty million, six hundred seventy-two thousand".