450644705280 has 1792 divisors, whose sum is σ = 2062936944000. Its totient is φ = 93640458240.

The previous prime is 450644705257. The next prime is 450644705297. The reversal of 450644705280 is 82507446054.

450644705280 is a `hidden beast` number, since 4 + 50 + 6 + 4 + 4 + 70 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40967700475 + ... + 40967700485.

Almost surely, 2^450644705280 is an apocalyptic number.

450644705280 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 450644705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031468472000).

450644705280 is an abundant number, since it is smaller than the sum of its proper divisors (1612292238720).

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

450644705280 is an frugal number, since it uses more digits than its factorization.

450644705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 450644705280 in words is "four hundred fifty billion, six hundred forty-four million, seven hundred five thousand, two hundred eighty".