441535160 has 64 divisors (see below), whose sum is σ = 1086480000. Its totient is φ = 160156800.

The previous prime is 441535123. The next prime is 441535207. The reversal of 441535160 is 61535144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218555 + ... + 220565.

It is an arithmetic number, because the mean of its divisors is an integer number (16976250).

Almost surely, 2^441535160 is an apocalyptic number.

441535160 is a gapful number since it is divisible by the number (40) 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 441535160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543240000).

441535160 is an abundant number, since it is smaller than the sum of its proper divisors (644944840).

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

441535160 is a wasteful number, since it uses less digits than its factorization.

441535160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 441535160 is about 21012.7380414833. The cubic root of 441535160 is about 761.4740321330.

The spelling of 441535160 in words is "four hundred forty-one million, five hundred thirty-five thousand, one hundred sixty".