450764532100 has 27 divisors (see below), whose sum is σ = 978173604037. Its totient is φ = 180303127280.

The previous prime is 450764531989. The next prime is 450764532139. The reversal of 450764532100 is 1235467054.

The square root of 450764532100 is 671390.

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

It can be written as a sum of positive squares in only one way, i.e., 162275231556 + 288489300544 = 402834^2 + 537112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 450764532100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6680331 + ... + 6747469.

Almost surely, 2^450764532100 is an apocalyptic number.

450764532100 is the 671390-th square number.

It is an amenable number.

450764532100 is an abundant number, since it is smaller than the sum of its proper divisors (527409071937).

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

450764532100 is an frugal number, since it uses more digits than its factorization.

450764532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134292 (or 67146 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

Adding to 450764532100 its reverse (1235467054), we get a palindrome (451999999154).

The spelling of 450764532100 in words is "four hundred fifty billion, seven hundred sixty-four million, five hundred thirty-two thousand, one hundred".