253342000 has 80 divisors (see below), whose sum is σ = 616648032. Its totient is φ = 100665600.

The previous prime is 253341983. The next prime is 253342043. The reversal of 253342000 is 243352.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 393679 + ... + 394321.

Almost surely, 2^253342000 is an apocalyptic number.

253342000 is a gapful number since it is divisible by the number (20) 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 253342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308324016).

253342000 is an abundant number, since it is smaller than the sum of its proper divisors (363306032).

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

253342000 is a wasteful number, since it uses less digits than its factorization.

253342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 253342000 is about 15916.7207677964. The cubic root of 253342000 is about 632.7552126670.

Adding to 253342000 its reverse (243352), we get a palindrome (253585352).

The spelling of 253342000 in words is "two hundred fifty-three million, three hundred forty-two thousand".