440964420 has 96 divisors (see below), whose sum is σ = 1341712512. Its totient is φ = 107563008.

The previous prime is 440964413. The next prime is 440964421. The reversal of 440964420 is 24469044.

It is not an unprimeable number, because it can be changed into a prime (440964421) 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 31 ways as a sum of consecutive naturals, for example, 85639 + ... + 90641.

It is an arithmetic number, because the mean of its divisors is an integer number (13976172).

Almost surely, 2^440964420 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 440964420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670856256).

440964420 is an abundant number, since it is smaller than the sum of its proper divisors (900748092).

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

440964420 is a wasteful number, since it uses less digits than its factorization.

440964420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 440964420 is about 20999.1528400552. The cubic root of 440964420 is about 761.1457901845.

It can be divided in two parts, 44096 and 4420, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 440964420 in words is "four hundred forty million, nine hundred sixty-four thousand, four hundred twenty".