440742816 has 192 divisors, whose sum is σ = 1399628160. Its totient is φ = 134369280.

The previous prime is 440742769. The next prime is 440742847. The reversal of 440742816 is 618247044.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543051 + ... + 543861.

It is an arithmetic number, because the mean of its divisors is an integer number (7289730).

Almost surely, 2^440742816 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 440742816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699814080).

440742816 is an abundant number, since it is smaller than the sum of its proper divisors (958885344).

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

440742816 is a wasteful number, since it uses less digits than its factorization.

440742816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 440742816 is about 20993.8756783973. The cubic root of 440742816 is about 761.0182657500.

The spelling of 440742816 in words is "four hundred forty million, seven hundred forty-two thousand, eight hundred sixteen".