462723121 has 15 divisors (see below), whose sum is σ = 541043961. Its totient is φ = 395716356.

The previous prime is 462723083. The next prime is 462723127. The reversal of 462723121 is 121327264.

The square root of 462723121 is 21511.

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

It is not a de Polignac number, because 462723121 - 2¹¹ = 462721073 is a prime.

It is a super-3 number, since 3×462723121³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 462723121.

It is not an unprimeable number, because it can be changed into a prime (462723127) 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 14 ways as a sum of consecutive naturals, for example, 1053820 + ... + 1054258.

Almost surely, 2^462723121 is an apocalyptic number.

462723121 is the 21511-st square number.

462723121 is the 10756-th centered octagonal number.

It is an amenable number.

462723121 is a deficient number, since it is larger than the sum of its proper divisors (78320840).

462723121 is an frugal number, since it uses more digits than its factorization.

462723121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 446 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The cubic root of 462723121 is about 773.4645261265.

The spelling of 462723121 in words is "four hundred sixty-two million, seven hundred twenty-three thousand, one hundred twenty-one".