253314048 has 88 divisors (see below), whose sum is σ = 727225408. Its totient is φ = 77930496.

The previous prime is 253314011. The next prime is 253314049. The reversal of 253314048 is 840413352.

It is not an unprimeable number, because it can be changed into a prime (253314049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36765 + ... + 43107.

Almost surely, 2^253314048 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 253314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363612704).

253314048 is an abundant number, since it is smaller than the sum of its proper divisors (473911360).

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

253314048 is a wasteful number, since it uses less digits than its factorization.

253314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 253314048 is about 15915.8426732611. The cubic root of 253314048 is about 632.7319405366.

The spelling of 253314048 in words is "two hundred fifty-three million, three hundred fourteen thousand, forty-eight".