440401984 has 56 divisors (see below), whose sum is σ = 964984608. Its totient is φ = 197744640.

The previous prime is 440401979. The next prime is 440401991. The reversal of 440401984 is 489104044.

It is a super-2 number, since 2×440401984² = 387907815022272512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54664 + ... + 62200.

It is an arithmetic number, because the mean of its divisors is an integer number (17231868).

Almost surely, 2^440401984 is an apocalyptic number.

440401984 is a gapful number since it is divisible by the number (44) 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 440401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482492304).

440401984 is an abundant number, since it is smaller than the sum of its proper divisors (524582624).

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

440401984 is a wasteful number, since it uses less digits than its factorization.

440401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 440401984 is about 20985.7566935291. The cubic root of 440401984 is about 760.8220468084.

The spelling of 440401984 in words is "four hundred forty million, four hundred one thousand, nine hundred eighty-four".