440141472 has 96 divisors (see below), whose sum is σ = 1325237760. Its totient is φ = 141972480.

The previous prime is 440141467. The next prime is 440141473. The reversal of 440141472 is 274141044.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (440141473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18568 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (13804560).

Almost surely, 2^440141472 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 440141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662618880).

440141472 is an abundant number, since it is smaller than the sum of its proper divisors (885096288).

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

440141472 is a wasteful number, since it uses less digits than its factorization.

440141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16483 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 440141472 is about 20979.5488988682. The cubic root of 440141472 is about 760.6720002794.

The spelling of 440141472 in words is "four hundred forty million, one hundred forty-one thousand, four hundred seventy-two".