441431180 has 96 divisors (see below), whose sum is σ = 1078479360. Its totient is φ = 150543360.

The previous prime is 441431149. The next prime is 441431233. The reversal of 441431180 is 81134144.

It is a super-2 number, since 2×441431180² = 389722973352384800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147095 + ... + 150065.

It is an arithmetic number, because the mean of its divisors is an integer number (11234160).

Almost surely, 2^441431180 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 441431180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539239680).

441431180 is an abundant number, since it is smaller than the sum of its proper divisors (637048180).

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

441431180 is a wasteful number, since it uses less digits than its factorization.

441431180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 441431180 is about 21010.2636823054. The cubic root of 441431180 is about 761.4142526082.

The spelling of 441431180 in words is "four hundred forty-one million, four hundred thirty-one thousand, one hundred eighty".