1254345040 has 180 divisors, whose sum is σ = 3345867324. Its totient is φ = 437059584.

The previous prime is 1254345019. The next prime is 1254345041. The reversal of 1254345040 is 405434521.

It can be written as a sum of positive squares in 6 ways, for example, as 21492496 + 1232852544 = 4636^2 + 35112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254345041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4880592 + ... + 4880848.

Almost surely, 2^1254345040 is an apocalyptic number.

1254345040 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 1254345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672933662).

1254345040 is an abundant number, since it is smaller than the sum of its proper divisors (2091522284).

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

1254345040 is a wasteful number, since it uses less digits than its factorization.

1254345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1254345040 is about 35416.7338979754. The cubic root of 1254345040 is about 1078.4640489230.

Adding to 1254345040 its reverse (405434521), we get a palindrome (1659779561).

The spelling of 1254345040 in words is "one billion, two hundred fifty-four million, three hundred forty-five thousand, forty".