450756380672 has 96 divisors (see below), whose sum is σ = 1027719365400. Its totient is φ = 195803480064.

The previous prime is 450756380639. The next prime is 450756380681. The reversal of 450756380672 is 276083657054.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 252823929856 + 197932450816 = 502816^2 + 444896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45347 + ... + 950562.

Almost surely, 2^450756380672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450756380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513859682700).

450756380672 is an abundant number, since it is smaller than the sum of its proper divisors (576962984728).

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

450756380672 is a wasteful number, since it uses less digits than its factorization.

450756380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995961 (or 995941 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 450756380672 in words is "four hundred fifty billion, seven hundred fifty-six million, three hundred eighty thousand, six hundred seventy-two".