440877216 has 96 divisors (see below), whose sum is σ = 1311992640. Its totient is φ = 128507904.

The previous prime is 440877211. The next prime is 440877259. The reversal of 440877216 is 612778044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (440877211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14416 + ... + 33008.

It is an arithmetic number, because the mean of its divisors is an integer number (13666590).

Almost surely, 2^440877216 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 440877216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655996320).

440877216 is an abundant number, since it is smaller than the sum of its proper divisors (871115424).

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

440877216 is a wasteful number, since it uses less digits than its factorization.

440877216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18638 (or 18630 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 440877216 is about 20997.0763679137. The cubic root of 440877216 is about 761.0956127927.

The spelling of 440877216 in words is "four hundred forty million, eight hundred seventy-seven thousand, two hundred sixteen".