440147456 has 80 divisors (see below), whose sum is σ = 1014030336. Its totient is φ = 186955776.

The previous prime is 440147443. The next prime is 440147479. The reversal of 440147456 is 654741044.

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 7 ways as a sum of consecutive naturals, for example, 454685 + ... + 455651.

Almost surely, 2^440147456 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 440147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507015168).

440147456 is an abundant number, since it is smaller than the sum of its proper divisors (573882880).

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

440147456 is an equidigital number, since it uses as much as digits as its factorization.

440147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 440147456 is about 20979.6915134613. The cubic root of 440147456 is about 760.6754475351.

The spelling of 440147456 in words is "four hundred forty million, one hundred forty-seven thousand, four hundred fifty-six".