441074480 has 240 divisors, whose sum is σ = 1332798624. Its totient is φ = 134184960.

The previous prime is 441074453. The next prime is 441074489. The reversal of 441074480 is 84470144.

It is not an unprimeable number, because it can be changed into a prime (441074489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2285264 + ... + 2285456.

Almost surely, 2^441074480 is an apocalyptic number.

441074480 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 441074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666399312).

441074480 is an abundant number, since it is smaller than the sum of its proper divisors (891724144).

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

441074480 is a wasteful number, since it uses less digits than its factorization.

441074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 441074480 is about 21001.7732584656. The cubic root of 441074480 is about 761.2091095313.

Subtracting from 441074480 its product of nonzero digits (14336), we obtain a palindrome (441060144).

The spelling of 441074480 in words is "four hundred forty-one million, seventy-four thousand, four hundred eighty".