459263736100 has 135 divisors (see below), whose sum is σ = 1082348698991. Its totient is φ = 169151424000.

The previous prime is 459263736053. The next prime is 459263736101. The reversal of 459263736100 is 1637362954.

The square root of 459263736100 is 677690.

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

It can be written as a sum of positive squares in 22 ways, for example, as 433814553316 + 25449182784 = 658646^2 + 159528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459263736101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1145295900 + ... + 1145296300.

Almost surely, 2^459263736100 is an apocalyptic number.

459263736100 is the 677690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459263736100

459263736100 is an abundant number, since it is smaller than the sum of its proper divisors (623084962891).

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

459263736100 is an frugal number, since it uses more digits than its factorization.

459263736100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 459263736100 in words is "four hundred fifty-nine billion, two hundred sixty-three million, seven hundred thirty-six thousand, one hundred".