450737676900 has 729 divisors, whose sum is σ = 1730486540601. Its totient is φ = 97837407360.

The previous prime is 450737676863. The next prime is 450737676901. The reversal of 450737676900 is 9676737054.

The square root of 450737676900 is 671370.

It is a perfect power (a square), and thus also a powerful number.

450737676900 is a `hidden beast` number, since 4 + 507 + 3 + 76 + 7 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162265563684 + 288472113216 = 402822^2 + 537096^2 .

It is a super-2 number, since 2×450737676900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450737676901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3242717031 + ... + 3242717169.

Almost surely, 2^450737676900 is an apocalyptic number.

450737676900 is the 671370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450737676900

450737676900 is an abundant number, since it is smaller than the sum of its proper divisors (1279748863701).

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

450737676900 is a wasteful number, since it uses less digits than its factorization.

450737676900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 450737676900 in words is "four hundred fifty billion, seven hundred thirty-seven million, six hundred seventy-six thousand, nine hundred".