449993007 has 24 divisors (see below), whose sum is σ = 657925008. Its totient is φ = 296352000.

The previous prime is 449993003. The next prime is 449993021. The reversal of 449993007 is 700399944.

It is not a de Polignac number, because 449993007 - 2² = 449993003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449993003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427632 + ... + 428682.

It is an arithmetic number, because the mean of its divisors is an integer number (27413542).

Almost surely, 2^449993007 is an apocalyptic number.

449993007 is a deficient number, since it is larger than the sum of its proper divisors (207932001).

449993007 is a wasteful number, since it uses less digits than its factorization.

449993007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 449993007 is about 21213.0386083654. The cubic root of 449993007 is about 766.3054628901.

The spelling of 449993007 in words is "four hundred forty-nine million, nine hundred ninety-three thousand, seven".