440415456 has 96 divisors (see below), whose sum is σ = 1249758720. Its totient is φ = 134997504.

The previous prime is 440415439. The next prime is 440415461. The reversal of 440415456 is 654514044.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447541 + ... + 448523.

It is an arithmetic number, because the mean of its divisors is an integer number (13018320).

Almost surely, 2^440415456 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 440415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624879360).

440415456 is an abundant number, since it is smaller than the sum of its proper divisors (809343264).

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

440415456 is a wasteful number, since it uses less digits than its factorization.

440415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 440415456 is about 20986.0776706844. The cubic root of 440415456 is about 760.8298046375.

The spelling of 440415456 in words is "four hundred forty million, four hundred fifteen thousand, four hundred fifty-six".