440167968 has 72 divisors (see below), whose sum is σ = 1275389388. Its totient is φ = 143949312.

The previous prime is 440167963. The next prime is 440167969. The reversal of 440167968 is 869761044.

It can be written as a sum of positive squares in 2 ways, for example, as 425514384 + 14653584 = 20628^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (440167963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846 + ... + 29682.

Almost surely, 2^440167968 is an apocalyptic number.

440167968 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 440167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637694694).

440167968 is an abundant number, since it is smaller than the sum of its proper divisors (835221420).

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

440167968 is a wasteful number, since it uses less digits than its factorization.

440167968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28906 (or 28895 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 440167968 is about 20980.1803614745. The cubic root of 440167968 is about 760.6872638270.

It can be divided in two parts, 44016 and 7968, that added together give a square (51984 = 228²).

The spelling of 440167968 in words is "four hundred forty million, one hundred sixty-seven thousand, nine hundred sixty-eight".