441097488 has 140 divisors (see below), whose sum is σ = 1380393420. Its totient is φ = 135675648.

The previous prime is 441097477. The next prime is 441097493. The reversal of 441097488 is 884790144.

It can be written as a sum of positive squares in 2 ways, for example, as 225360144 + 215737344 = 15012^2 + 14688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 150178 + ... + 153086.

It is an arithmetic number, because the mean of its divisors is an integer number (9859953).

Almost surely, 2^441097488 is an apocalyptic number.

441097488 is a gapful number since it is divisible by the number (48) 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 441097488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690196710).

441097488 is an abundant number, since it is smaller than the sum of its proper divisors (939295932).

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

441097488 is a wasteful number, since it uses less digits than its factorization.

441097488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 441097488 is about 21002.3210145926. The cubic root of 441097488 is about 761.2223450848. Note that the first 3 decimals are identical.

The spelling of 441097488 in words is "four hundred forty-one million, ninety-seven thousand, four hundred eighty-eight".