440747712 has 336 divisors, whose sum is σ = 1483522560. Its totient is φ = 124084224.

The previous prime is 440747701. The next prime is 440747773. The reversal of 440747712 is 217747044.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4279053 + ... + 4279155.

Almost surely, 2^440747712 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 440747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741761280).

440747712 is an abundant number, since it is smaller than the sum of its proper divisors (1042774848).

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

440747712 is a wasteful number, since it uses less digits than its factorization.

440747712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 440747712 is about 20993.9922835082. The cubic root of 440747712 is about 761.0210836683.

The spelling of 440747712 in words is "four hundred forty million, seven hundred forty-seven thousand, seven hundred twelve".