253478241 has 45 divisors (see below), whose sum is σ = 398694153. Its totient is φ = 160483680.

The previous prime is 253478233. The next prime is 253478261. The reversal of 253478241 is 142874352.

It is a happy number.

The square root of 253478241 is 15921.

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

253478241 is a `hidden beast` number, since 2 + 534 + 7 + 82 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76055841 + 177422400 = 8721^2 + 13320^2 .

It is not a de Polignac number, because 253478241 - 2³ = 253478233 is a prime.

Its product of digits (53760) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 253478196 and 253478205.

It is not an unprimeable number, because it can be changed into a prime (253478261) 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, 4155351 + ... + 4155411.

Almost surely, 2^253478241 is an apocalyptic number.

253478241 is the 15921-st square number.

253478241 is the 7961-st centered octagonal number.

It is an amenable number.

253478241 is a deficient number, since it is larger than the sum of its proper divisors (145215912).

253478241 is an frugal number, since it uses more digits than its factorization.

253478241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The cubic root of 253478241 is about 632.8686189902.

Multiplying 253478241 by its sum of digits (36), we get a square (9125216676 = 95526²).

The spelling of 253478241 in words is "two hundred fifty-three million, four hundred seventy-eight thousand, two hundred forty-one".