450585383040 has 1024 divisors, whose sum is σ = 1820871360000. Its totient is φ = 104390000640.

The previous prime is 450585382987. The next prime is 450585383063. The reversal of 450585383040 is 40383585054.

450585383040 is a `hidden beast` number, since 4 + 5 + 0 + 585 + 38 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 977408410 + ... + 977408870.

Almost surely, 2^450585383040 is an apocalyptic number.

450585383040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450585383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910435680000).

450585383040 is an abundant number, since it is smaller than the sum of its proper divisors (1370285976960).

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

450585383040 is a wasteful number, since it uses less digits than its factorization.

450585383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 450585383040 in words is "four hundred fifty billion, five hundred eighty-five million, three hundred eighty-three thousand, forty".