441520632 has 320 divisors, whose sum is σ = 1533312000. Its totient is φ = 115893504.

The previous prime is 441520609. The next prime is 441520633. The reversal of 441520632 is 236025144.

441520632 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 20 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 441520596 and 441520605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441520633) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4050594 + ... + 4050702.

It is an arithmetic number, because the mean of its divisors is an integer number (4791600).

Almost surely, 2^441520632 is an apocalyptic number.

441520632 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 441520632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766656000).

441520632 is an abundant number, since it is smaller than the sum of its proper divisors (1091791368).

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

441520632 is a wasteful number, since it uses less digits than its factorization.

441520632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 441520632 is about 21012.3923435672. The cubic root of 441520632 is about 761.4656803511.

Adding to 441520632 its reverse (236025144), we get a palindrome (677545776).

The spelling of 441520632 in words is "four hundred forty-one million, five hundred twenty thousand, six hundred thirty-two".