440471952 has 80 divisors (see below), whose sum is σ = 1307952000. Its totient is φ = 141757056.

The previous prime is 440471951. The next prime is 440471959. The reversal of 440471952 is 259174044.

It is a happy number.

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 (440471951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5052 + ... + 30107.

It is an arithmetic number, because the mean of its divisors is an integer number (16349400).

Almost surely, 2^440471952 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 440471952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653976000).

440471952 is an abundant number, since it is smaller than the sum of its proper divisors (867480048).

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

440471952 is a wasteful number, since it uses less digits than its factorization.

440471952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35205 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 440471952 is about 20987.4236627558. The cubic root of 440471952 is about 760.8623360441.

The spelling of 440471952 in words is "four hundred forty million, four hundred seventy-one thousand, nine hundred fifty-two".