441436632 has 128 divisors (see below), whose sum is σ = 1371686400. Its totient is φ = 115273728.

The previous prime is 441436613. The next prime is 441436649. The reversal of 441436632 is 236634144.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441436593 and 441436602.

It is a congruent number.

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, 232744 + ... + 234632.

It is an arithmetic number, because the mean of its divisors is an integer number (10716300).

Almost surely, 2^441436632 is an apocalyptic number.

441436632 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 441436632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

441436632 is an abundant number, since it is smaller than the sum of its proper divisors (930249768).

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

441436632 is a wasteful number, since it uses less digits than its factorization.

441436632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2021 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 441436632 is about 21010.3934280156. The cubic root of 441436632 is about 761.4173872708.

The spelling of 441436632 in words is "four hundred forty-one million, four hundred thirty-six thousand, six hundred thirty-two".