462227296129 has 27 divisors (see below), whose sum is σ = 481107144483. Its totient is φ = 444082165632.

The previous prime is 462227296127. The next prime is 462227296159. The reversal of 462227296129 is 921692722264.

It is a happy number.

The square root of 462227296129 is 679873.

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., 207557692225 + 254669603904 = 455585^2 + 504648^2 .

It is not a de Polignac number, because 462227296129 - 2¹ = 462227296127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (462227296127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2835750202 + ... + 2835750364.

It is an arithmetic number, because the mean of its divisors is an integer number (17818783129).

Almost surely, 2^462227296129 is an apocalyptic number.

462227296129 is the 679873-rd square number.

462227296129 is the 339937-th centered octagonal number.

It is an amenable number.

462227296129 is a deficient number, since it is larger than the sum of its proper divisors (18879848354).

462227296129 is an frugal number, since it uses more digits than its factorization.

462227296129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 462227296129 in words is "four hundred sixty-two billion, two hundred twenty-seven million, two hundred ninety-six thousand, one hundred twenty-nine".