440971440 has 320 divisors, whose sum is σ = 1715223552. Its totient is φ = 91238400.

The previous prime is 440971411. The next prime is 440971459. The reversal of 440971440 is 44179044.

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 63 ways as a sum of consecutive naturals, for example, 1332075 + ... + 1332405.

Almost surely, 2^440971440 is an apocalyptic number.

440971440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857611776).

440971440 is an abundant number, since it is smaller than the sum of its proper divisors (1274252112).

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

440971440 is a wasteful number, since it uses less digits than its factorization.

440971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 440971440 is about 20999.3199889901. The cubic root of 440971440 is about 761.1498292217.

The spelling of 440971440 in words is "four hundred forty million, nine hundred seventy-one thousand, four hundred forty".