440599968 has 144 divisors (see below), whose sum is σ = 1338180480. Its totient is φ = 137106432.

The previous prime is 440599961. The next prime is 440599969. The reversal of 440599968 is 869995044.

440599968 is a `hidden beast` number, since 4 + 40 + 599 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (440599961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398905 + ... + 400007.

It is an arithmetic number, because the mean of its divisors is an integer number (9292920).

Almost surely, 2^440599968 is an apocalyptic number.

440599968 is a gapful number since it is divisible by the number (48) 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 440599968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669090240).

440599968 is an abundant number, since it is smaller than the sum of its proper divisors (897580512).

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

440599968 is a wasteful number, since it uses less digits than its factorization.

440599968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 440599968 is about 20990.4732676517. The cubic root of 440599968 is about 760.9360396536.

The spelling of 440599968 in words is "four hundred forty million, five hundred ninety-nine thousand, nine hundred sixty-eight".