253244992 has 224 divisors, whose sum is σ = 696407040. Its totient is φ = 88197120.

The previous prime is 253244923. The next prime is 253245011. The reversal of 253244992 is 299442352.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3779743 + ... + 3779809.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2^253244992 is an apocalyptic number.

253244992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348203520).

253244992 is an abundant number, since it is smaller than the sum of its proper divisors (443162048).

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

253244992 is a wasteful number, since it uses less digits than its factorization.

253244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 253244992 is about 15913.6731146521. The cubic root of 253244992 is about 632.6744389119.

It can be divided in two parts, 2532 and 44992, that added together give a square (47524 = 218²).

The spelling of 253244992 in words is "two hundred fifty-three million, two hundred forty-four thousand, nine hundred ninety-two".