440429472 has 288 divisors, whose sum is σ = 1545433344. Its totient is φ = 116121600.

The previous prime is 440429459. The next prime is 440429477. The reversal of 440429472 is 274924044.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440429477) 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 47 ways as a sum of consecutive naturals, for example, 2433222 + ... + 2433402.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2^440429472 is an apocalyptic number.

440429472 is a gapful number since it is divisible by the number (42) 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 440429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

440429472 is an abundant number, since it is smaller than the sum of its proper divisors (1105003872).

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

440429472 is a wasteful number, since it uses less digits than its factorization.

440429472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 440429472 is about 20986.4116037020. The cubic root of 440429472 is about 760.8378755603.

The spelling of 440429472 in words is "four hundred forty million, four hundred twenty-nine thousand, four hundred seventy-two".