254340240 has 160 divisors (see below), whose sum is σ = 983079936. Its totient is φ = 52846080.

The previous prime is 254340239. The next prime is 254340271. The reversal of 254340240 is 42043452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 254340240.

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 31 ways as a sum of consecutive naturals, for example, 11599 + ... + 25361.

Almost surely, 2^254340240 is an apocalyptic number.

254340240 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 254340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491539968).

254340240 is an abundant number, since it is smaller than the sum of its proper divisors (728739696).

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

254340240 is a wasteful number, since it uses less digits than its factorization.

254340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13797 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 254340240 is about 15948.0481564359. The cubic root of 254340240 is about 633.5852023761.

Adding to 254340240 its reverse (42043452), we get a palindrome (296383692).

The spelling of 254340240 in words is "two hundred fifty-four million, three hundred forty thousand, two hundred forty".