462981289 has 3 divisors (see below), whose sum is σ = 463002807. Its totient is φ = 462959772.

The previous prime is 462981287. The next prime is 462981371. The reversal of 462981289 is 982189264.

The square root of 462981289 is 21517.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 163968025 + 299013264 = 12805^2 + 17292^2 .

It is not a de Polignac number, because 462981289 - 2¹ = 462981287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (462981287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10759 + ... + 32275.

It is an arithmetic number, because the mean of its divisors is an integer number (154334269).

Almost surely, 2^462981289 is an apocalyptic number.

462981289 is the 21517-th square number.

462981289 is the 10759-th centered octagonal number.

It is an amenable number.

462981289 is a deficient number, since it is larger than the sum of its proper divisors (21518).

462981289 is an frugal number, since it uses more digits than its factorization.

462981289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43034 (or 21517 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The cubic root of 462981289 is about 773.6083462322.

Multiplying 462981289 by its sum of digits (49), we get a square (22686083161 = 150619²).

The spelling of 462981289 in words is "four hundred sixty-two million, nine hundred eighty-one thousand, two hundred eighty-nine".