450993 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 274176.

The previous prime is 450991. The next prime is 450997. The reversal of 450993 is 399054.

It is not a de Polignac number, because 450993 - 2¹ = 450991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450993.

It is not an unprimeable number, because it can be changed into a prime (450991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1768 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁴⁵⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

450993 is a deficient number, since it is larger than the sum of its proper divisors (205647).

450993 is a wasteful number, since it uses less digits than its factorization.

450993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 450993 is about 671.5601238906. The cubic root of 450993 is about 76.6872681456.

The spelling of 450993 in words is "four hundred fifty thousand, nine hundred ninety-three".