440814816 has 144 divisors (see below), whose sum is σ = 1358033040. Its totient is φ = 134830080.

The previous prime is 440814809. The next prime is 440814817. The reversal of 440814816 is 618418044.

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

It is a super-2 number, since 2×440814816² = 388635404010227712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440814817) 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, 1051855 + ... + 1052273.

It is an arithmetic number, because the mean of its divisors is an integer number (9430785).

Almost surely, 2^440814816 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 440814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679016520).

440814816 is an abundant number, since it is smaller than the sum of its proper divisors (917218224).

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

440814816 is a wasteful number, since it uses less digits than its factorization.

440814816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 440814816 is about 20995.5903941756. The cubic root of 440814816 is about 761.0597036209.

The spelling of 440814816 in words is "four hundred forty million, eight hundred fourteen thousand, eight hundred sixteen".