254242000 has 80 divisors (see below), whose sum is σ = 641601792. Its totient is φ = 97257600.

The previous prime is 254241989. The next prime is 254242039. The reversal of 254242000 is 242452.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43237 + ... + 48763.

Almost surely, 2^254242000 is an apocalyptic number.

254242000 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 254242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320800896).

254242000 is an abundant number, since it is smaller than the sum of its proper divisors (387359792).

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

254242000 is a wasteful number, since it uses less digits than its factorization.

254242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 254242000 is about 15944.9678582304. The cubic root of 254242000 is about 633.5036168774.

Adding to 254242000 its reverse (242452), we get a palindrome (254484452).

The spelling of 254242000 in words is "two hundred fifty-four million, two hundred forty-two thousand".