441968440 has 16 divisors (see below), whose sum is σ = 994429080. Its totient is φ = 176787360.

The previous prime is 441968413. The next prime is 441968447. The reversal of 441968440 is 44869144.

It is a super-2 number, since 2×441968440² = 390672203912067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11049211 = 441968440 / (4 + 4 + 1 + 9 + 6 + 8 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 441968393 and 441968402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441968447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5524566 + ... + 5524645.

Almost surely, 2^441968440 is an apocalyptic number.

441968440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441968440 is an abundant number, since it is smaller than the sum of its proper divisors (552460640).

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

441968440 is a wasteful number, since it uses less digits than its factorization.

441968440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049222 (or 11049218 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 441968440 is about 21023.0454501721. The cubic root of 441968440 is about 761.7230297488.

The spelling of 441968440 in words is "four hundred forty-one million, nine hundred sixty-eight thousand, four hundred forty".