254315464209 has 45 divisors (see below), whose sum is σ = 383634582177. Its totient is φ = 167894591616.

The previous prime is 254315464147. The next prime is 254315464217. The reversal of 254315464209 is 902464513452.

The square root of 254315464209 is 504297.

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

254315464209 is a `hidden beast` number, since 2 + 5 + 431 + 5 + 4 + 6 + 4 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75325547025 + 178989917184 = 274455^2 + 423072^2 .

It is not a de Polignac number, because 254315464209 - 2⁹ = 254315463697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254315464309) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 621797997 + ... + 621798405.

Almost surely, 2^254315464209 is an apocalyptic number.

254315464209 is the 504297-th square number.

254315464209 is the 252149-th centered octagonal number.

It is an amenable number.

254315464209 is a deficient number, since it is larger than the sum of its proper divisors (129319117968).

254315464209 is an frugal number, since it uses more digits than its factorization.

254315464209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 254315464209 in words is "two hundred fifty-four billion, three hundred fifteen million, four hundred sixty-four thousand, two hundred nine".