253417024 has 42 divisors (see below), whose sum is σ = 584983590. Its totient is φ = 108605952.

The previous prime is 253417019. The next prime is 253417027. The reversal of 253417024 is 420714352.

It can be written as a sum of positive squares in only one way, i.e., 237160000 + 16257024 = 15400^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 253416983 and 253417001.

It is not an unprimeable number, because it can be changed into a prime (253417027) 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, 37269 + ... + 43540.

Almost surely, 2^253417024 is an apocalyptic number.

It is an amenable number.

253417024 is an abundant number, since it is smaller than the sum of its proper divisors (331566566).

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

253417024 is an equidigital number, since it uses as much as digits as its factorization.

253417024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80835 (or 80818 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 253417024 is about 15919.0773601990. The cubic root of 253417024 is about 632.8176672959.

The spelling of 253417024 in words is "two hundred fifty-three million, four hundred seventeen thousand, twenty-four".