450741257604 has 240 divisors, whose sum is σ = 1316897277696. Its totient is φ = 133254072000.

The previous prime is 450741257599. The next prime is 450741257627. The reversal of 450741257604 is 406752147054.

450741257604 is a `hidden beast` number, since 4 + 5 + 0 + 74 + 1 + 2 + 576 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 450741257604.

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 79 ways as a sum of consecutive naturals, for example, 222367639 + ... + 222369665.

Almost surely, 2^450741257604 is an apocalyptic number.

450741257604 is a gapful number since it is divisible by the number (44) 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 450741257604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658448638848).

450741257604 is an abundant number, since it is smaller than the sum of its proper divisors (866156020092).

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

450741257604 is a wasteful number, since it uses less digits than its factorization.

450741257604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 450741257604 in words is "four hundred fifty billion, seven hundred forty-one million, two hundred fifty-seven thousand, six hundred four".