450670707024720 has 640 divisors, whose sum is σ = 1732559149117440. Its totient is φ = 94363833876480.

The previous prime is 450670707024691. The next prime is 450670707024737. The reversal of 450670707024720 is 27420707076054.

It is a super-2 number, since 2×450670707024720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10684696591 + ... + 10684738769.

It is an arithmetic number, because the mean of its divisors is an integer number (2707123670496).

Almost surely, 2^{450670707024720} is an apocalyptic number.

450670707024720 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 450670707024720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866279574558720).

450670707024720 is an abundant number, since it is smaller than the sum of its proper divisors (1281888442092720).

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

450670707024720 is a wasteful number, since it uses less digits than its factorization.

450670707024720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45923 (or 45917 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 51.

The spelling of 450670707024720 in words is "four hundred fifty trillion, six hundred seventy billion, seven hundred seven million, twenty-four thousand, seven hundred twenty".