450145753907200 has 720 divisors, whose sum is σ = 1242627145661440. Its totient is φ = 160632668160000.

The previous prime is 450145753907173. The next prime is 450145753907207. The reversal of 450145753907200 is 2709357541054.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (450145753907207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176458545925 + ... + 176458548475.

Almost surely, 2^{450145753907200} is an apocalyptic number.

450145753907200 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 450145753907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621313572830720).

450145753907200 is an abundant number, since it is smaller than the sum of its proper divisors (792481391754240).

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

450145753907200 is a wasteful number, since it uses less digits than its factorization.

450145753907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 52.

The spelling of 450145753907200 in words is "four hundred fifty trillion, one hundred forty-five billion, seven hundred fifty-three million, nine hundred seven thousand, two hundred".