254430540 has 288 divisors, whose sum is σ = 972316800. Its totient is φ = 53512704.

The previous prime is 254430529. The next prime is 254430541. The reversal of 254430540 is 45034452.

254430540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (254430541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802462 + ... + 802778.

It is an arithmetic number, because the mean of its divisors is an integer number (3376100).

Almost surely, 2^254430540 is an apocalyptic number.

254430540 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 254430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486158400).

254430540 is an abundant number, since it is smaller than the sum of its proper divisors (717886260).

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

254430540 is a wasteful number, since it uses less digits than its factorization.

254430540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 254430540 is about 15950.8789726460. The cubic root of 254430540 is about 633.6601754046.

Adding to 254430540 its reverse (45034452), we get a palindrome (299464992).

The spelling of 254430540 in words is "two hundred fifty-four million, four hundred thirty thousand, five hundred forty".