450206456 has 64 divisors (see below), whose sum is σ = 984960000. Its totient is φ = 188939520.

The previous prime is 450206447. The next prime is 450206473. The reversal of 450206456 is 654602054.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 790940 + ... + 791508.

It is an arithmetic number, because the mean of its divisors is an integer number (15390000).

Almost surely, 2^450206456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450206456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480000).

450206456 is an abundant number, since it is smaller than the sum of its proper divisors (534753544).

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

450206456 is a wasteful number, since it uses less digits than its factorization.

450206456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 450206456 is about 21218.0690921676. The cubic root of 450206456 is about 766.4266064612.

The spelling of 450206456 in words is "four hundred fifty million, two hundred six thousand, four hundred fifty-six".