440016896 has 112 divisors (see below), whose sum is σ = 1014435360. Its totient is φ = 188743680.

The previous prime is 440016853. The next prime is 440016919. The reversal of 440016896 is 698610044.

It is a super-2 number, since 2×440016896² = 387229737530949632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712000 + ... + 1712256.

Almost surely, 2^440016896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507217680).

440016896 is an abundant number, since it is smaller than the sum of its proper divisors (574418464).

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

440016896 is a wasteful number, since it uses less digits than its factorization.

440016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 440016896 is about 20976.5797021345. The cubic root of 440016896 is about 760.6002275860.

The spelling of 440016896 in words is "four hundred forty million, sixteen thousand, eight hundred ninety-six".