450077921280 has 1664 divisors, whose sum is σ = 1902304051200. Its totient is φ = 99883155456.

The previous prime is 450077921261. The next prime is 450077921281. The reversal of 450077921280 is 82129770054.

It is a happy number.

450077921280 is a `hidden beast` number, since 450 + 0 + 7 + 79 + 2 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is not an unprimeable number, because it can be changed into a prime (450077921281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3543920577 + ... + 3543920703.

Almost surely, 2^450077921280 is an apocalyptic number.

450077921280 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 450077921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951152025600).

450077921280 is an abundant number, since it is smaller than the sum of its proper divisors (1452226129920).

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

450077921280 is a wasteful number, since it uses less digits than its factorization.

450077921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 450077921280 in words is "four hundred fifty billion, seventy-seven million, nine hundred twenty-one thousand, two hundred eighty".