462088225 has 6 divisors (see below), whose sum is σ = 572989430. Its totient is φ = 369670560.

The previous prime is 462088217. The next prime is 462088229. The reversal of 462088225 is 522880264.

It can be written as a sum of positive squares in 3 ways, for example, as 3400336 + 458687889 = 1844^2 + 21417^2 .

It is not a de Polignac number, because 462088225 - 2³ = 462088217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (462088229) 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 5 ways as a sum of consecutive naturals, for example, 9241740 + ... + 9241789.

Almost surely, 2^462088225 is an apocalyptic number.

It is an amenable number.

462088225 is a deficient number, since it is larger than the sum of its proper divisors (110901205).

462088225 is a wasteful number, since it uses less digits than its factorization.

462088225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483539 (or 18483534 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 462088225 is about 21496.2374614722. The cubic root of 462088225 is about 773.1106108804.

The spelling of 462088225 in words is "four hundred sixty-two million, eighty-eight thousand, two hundred twenty-five".