253064464 has 45 divisors (see below), whose sum is σ = 507797391. Its totient is φ = 122173440.

The previous prime is 253064459. The next prime is 253064467. The reversal of 253064464 is 464460352.

The square root of 253064464 is 15908.

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 84272400 + 168792064 = 9180^2 + 12992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253064467) 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 8 ways as a sum of consecutive naturals, for example, 2608864 + ... + 2608960.

Almost surely, 2^253064464 is an apocalyptic number.

253064464 is the 15908-th square number.

It is an amenable number.

253064464 is an abundant number, since it is smaller than the sum of its proper divisors (254732927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253064464 is an frugal number, since it uses more digits than its factorization.

253064464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The cubic root of 253064464 is about 632.5240672621.

The spelling of 253064464 in words is "two hundred fifty-three million, sixty-four thousand, four hundred sixty-four".