459941676100 has 27 divisors (see below), whose sum is σ = 998088154077. Its totient is φ = 183973957680.

The previous prime is 459941676079. The next prime is 459941676137. The reversal of 459941676100 is 1676149954.

The square root of 459941676100 is 678190.

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., 165579003396 + 294362672704 = 406914^2 + 542552^2 .

It is a super-2 number, since 2×459941676100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6747991 + ... + 6815809.

Almost surely, 2^459941676100 is an apocalyptic number.

459941676100 is the 678190-th square number.

It is an amenable number.

459941676100 is an abundant number, since it is smaller than the sum of its proper divisors (538146477977).

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

459941676100 is an frugal number, since it uses more digits than its factorization.

459941676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135652 (or 67826 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 459941676100 in words is "four hundred fifty-nine billion, nine hundred forty-one million, six hundred seventy-six thousand, one hundred".