254340000 has 300 divisors, whose sum is σ = 940662954. Its totient is φ = 67392000.

The previous prime is 254339989. The next prime is 254340001. The reversal of 254340000 is 43452.

It is a happy number.

254340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1296 + 254338704 = 36^2 + 15948^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (254340001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619922 + ... + 1620078.

Almost surely, 2^254340000 is an apocalyptic number.

254340000 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 254340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470331477).

254340000 is an abundant number, since it is smaller than the sum of its proper divisors (686322954).

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

254340000 is an equidigital number, since it uses as much as digits as its factorization.

254340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 254340000 is about 15948.0406320024. The cubic root of 254340000 is about 633.5850030886.

Adding to 254340000 its reverse (43452), we get a palindrome (254383452).

The spelling of 254340000 in words is "two hundred fifty-four million, three hundred forty thousand".