450504648 has 192 divisors, whose sum is σ = 1401753600. Its totient is φ = 129456000.

The previous prime is 450504631. The next prime is 450504667. The reversal of 450504648 is 846405054.

450504648 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 0 + 4 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448413 + ... + 1448723.

It is an arithmetic number, because the mean of its divisors is an integer number (7300800).

Almost surely, 2^450504648 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 450504648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700876800).

450504648 is an abundant number, since it is smaller than the sum of its proper divisors (951248952).

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

450504648 is a wasteful number, since it uses less digits than its factorization.

450504648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 450504648 is about 21225.0947701064. The cubic root of 450504648 is about 766.5957820622.

The spelling of 450504648 in words is "four hundred fifty million, five hundred four thousand, six hundred forty-eight".