450406656 has 360 divisors, whose sum is σ = 1602659520. Its totient is φ = 123088896.

The previous prime is 450406613. The next prime is 450406679. The reversal of 450406656 is 656604054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 450406656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4209355 + ... + 4209461.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832).

Almost surely, 2^450406656 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 450406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

450406656 is an abundant number, since it is smaller than the sum of its proper divisors (1152252864).

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

450406656 is a wasteful number, since it uses less digits than its factorization.

450406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 450406656 is about 21222.7862449774. The cubic root of 450406656 is about 766.5401957314.

The spelling of 450406656 in words is "four hundred fifty million, four hundred six thousand, six hundred fifty-six".