441232920 has 320 divisors, whose sum is σ = 1605795840. Its totient is φ = 108345600.

The previous prime is 441232919. The next prime is 441232927. The reversal of 441232920 is 29232144.

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441232927) 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, 2310025 + ... + 2310215.

It is an arithmetic number, because the mean of its divisors is an integer number (5018112).

Almost surely, 2^441232920 is an apocalyptic number.

441232920 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 441232920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802897920).

441232920 is an abundant number, since it is smaller than the sum of its proper divisors (1164562920).

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

441232920 is a wasteful number, since it uses less digits than its factorization.

441232920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 441232920 is about 21005.5449822184. The cubic root of 441232920 is about 761.3002442024.

The spelling of 441232920 in words is "four hundred forty-one million, two hundred thirty-two thousand, nine hundred twenty".