462065125 has 16 divisors (see below), whose sum is σ = 578056752. Its totient is φ = 368755200.

The previous prime is 462065059. The next prime is 462065171. The reversal of 462065125 is 521560264.

It can be written as a sum of positive squares in 8 ways, for example, as 151142436 + 310922689 = 12294^2 + 17633^2 .

It is not a de Polignac number, because 462065125 - 2⁷ = 462064997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49857 + ... + 58393.

It is an arithmetic number, because the mean of its divisors is an integer number (36128547).

Almost surely, 2^462065125 is an apocalyptic number.

It is an amenable number.

462065125 is a deficient number, since it is larger than the sum of its proper divisors (115991627).

462065125 is an equidigital number, since it uses as much as digits as its factorization.

462065125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 462065125 is about 21495.7001514256. The cubic root of 462065125 is about 773.0977279490.

The spelling of 462065125 in words is "four hundred sixty-two million, sixty-five thousand, one hundred twenty-five".