462665238025 has 27 divisors (see below), whose sum is σ = 594296681173. Its totient is φ = 357292829600.

The previous prime is 462665238023. The next prime is 462665238037. The reversal of 462665238025 is 520832566264.

The square root of 462665238025 is 680195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6359584009 + 456305654016 = 79747^2 + 675504^2 .

It is not a de Polignac number, because 462665238025 - 2¹ = 462665238023 is a prime.

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 462665238025.

It is not an unprimeable number, because it can be changed into a prime (462665238023) 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, 98625930 + ... + 98630620.

Almost surely, 2^462665238025 is an apocalyptic number.

462665238025 is the 680195-th square number.

462665238025 is the 340098-th centered octagonal number.

It is an amenable number.

462665238025 is a deficient number, since it is larger than the sum of its proper divisors (131631443148).

462665238025 is an frugal number, since it uses more digits than its factorization.

462665238025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

Multiplying 462665238025 by its sum of digits (49), we get a square (22670596663225 = 4761365²).

The spelling of 462665238025 in words is "four hundred sixty-two billion, six hundred sixty-five million, two hundred thirty-eight thousand, twenty-five".