253441368 has 96 divisors (see below), whose sum is σ = 712857600. Its totient is φ = 81259200.

The previous prime is 253441351. The next prime is 253441373. The reversal of 253441368 is 863144352.

253441368 is a `hidden beast` number, since 253 + 4 + 41 + 368 = 666.

It is a super-2 number, since 2×253441368² = 128465054027422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604663 + ... + 605081.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^253441368 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 253441368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

253441368 is an abundant number, since it is smaller than the sum of its proper divisors (459416232).

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

253441368 is a wasteful number, since it uses less digits than its factorization.

253441368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 253441368 is about 15919.8419590145. The cubic root of 253441368 is about 632.8379301020.

The spelling of 253441368 in words is "two hundred fifty-three million, four hundred forty-one thousand, three hundred sixty-eight".