253422144 has 42 divisors (see below), whose sum is σ = 726390470. Its totient is φ = 84473856.

The previous prime is 253422101. The next prime is 253422151. The reversal of 253422144 is 441224352.

It can be written as a sum of positive squares in only one way, i.e., 253191744 + 230400 = 15912^2 + 480^2 .

It is an unprimeable number.

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, 219409 + ... + 220560.

Almost surely, 2^253422144 is an apocalyptic number.

253422144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253422144 is an abundant number, since it is smaller than the sum of its proper divisors (472968326).

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

253422144 is a wasteful number, since it uses less digits than its factorization.

253422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439987 (or 439974 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 253422144 is about 15919.2381727267. The cubic root of 253422144 is about 632.8219290520.

Adding to 253422144 its reverse (441224352), we get a palindrome (694646496).

The spelling of 253422144 in words is "two hundred fifty-three million, four hundred twenty-two thousand, one hundred forty-four".