441249993 has 36 divisors (see below), whose sum is σ = 668011708. Its totient is φ = 280627200.

The previous prime is 441249989. The next prime is 441250003. The reversal of 441249993 is 399942144.

It can be written as a sum of positive squares in 6 ways, for example, as 15116544 + 426133449 = 3888^2 + 20643^2 .

It is not a de Polignac number, because 441249993 - 2² = 441249989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441249923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733893 + ... + 734493.

Almost surely, 2^441249993 is an apocalyptic number.

It is an amenable number.

441249993 is a deficient number, since it is larger than the sum of its proper divisors (226761715).

441249993 is a wasteful number, since it uses less digits than its factorization.

441249993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 730 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 441249993 is about 21005.9513709806. The cubic root of 441249993 is about 761.3100632880.

The spelling of 441249993 in words is "four hundred forty-one million, two hundred forty-nine thousand, nine hundred ninety-three".