463202748100 has 27 divisors (see below), whose sum is σ = 1005164732397. Its totient is φ = 185278376880.

The previous prime is 463202748097. The next prime is 463202748101. The reversal of 463202748100 is 1847202364.

The square root of 463202748100 is 680590.

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., 166752989316 + 296449758784 = 408354^2 + 544472^2 .

It is a super-2 number, since 2×463202748100² (a number of 24 digits) contains 22 as substring.

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 463202748100.

It is not an unprimeable number, because it can be changed into a prime (463202748101) 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 8 ways as a sum of consecutive naturals, for example, 6771871 + ... + 6839929.

Almost surely, 2^463202748100 is an apocalyptic number.

463202748100 is the 680590-th square number.

It is an amenable number.

463202748100 is an abundant number, since it is smaller than the sum of its proper divisors (541961984297).

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

463202748100 is an frugal number, since it uses more digits than its factorization.

463202748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136132 (or 68066 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 463202748100 in words is "four hundred sixty-three billion, two hundred two million, seven hundred forty-eight thousand, one hundred".