1254242440 has 192 divisors, whose sum is σ = 3412886400. Its totient is φ = 412600320.

The previous prime is 1254242413. The next prime is 1254242443. The reversal of 1254242440 is 442424521.

It is a junction number, because it is equal to n+sod(n) for n = 1254242399 and 1254242408.

It is not an unprimeable number, because it can be changed into a prime (1254242443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114784 + ... + 2115376.

It is an arithmetic number, because the mean of its divisors is an integer number (17775450).

Almost surely, 2^1254242440 is an apocalyptic number.

1254242440 is a gapful number since it is divisible by the number (10) 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 1254242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706443200).

1254242440 is an abundant number, since it is smaller than the sum of its proper divisors (2158643960).

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

1254242440 is a wasteful number, since it uses less digits than its factorization.

1254242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 1254242440 is about 35415.2854005160. The cubic root of 1254242440 is about 1078.4346435561.

Adding to 1254242440 its reverse (442424521), we get a palindrome (1696666961).

The spelling of 1254242440 in words is "one billion, two hundred fifty-four million, two hundred forty-two thousand, four hundred forty".