253969352 has 192 divisors, whose sum is σ = 653083200. Its totient is φ = 91445760.

The previous prime is 253969351. The next prime is 253969357.

253969352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253969351) 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 47 ways as a sum of consecutive naturals, for example, 4163402 + ... + 4163462.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 2^253969352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253969352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326541600).

253969352 is an abundant number, since it is smaller than the sum of its proper divisors (399113848).

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

253969352 is a wasteful number, since it uses less digits than its factorization.

253969352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 437400, while the sum is 44.

The square root of 253969352 is about 15936.4159082273. The cubic root of 253969352 is about 633.2770803839.

The spelling of 253969352 in words is "two hundred fifty-three million, nine hundred sixty-nine thousand, three hundred fifty-two".