254912040 has 96 divisors (see below), whose sum is σ = 833456520. Its totient is φ = 67567104.

The previous prime is 254912029. The next prime is 254912057. The reversal of 254912040 is 40219452.

It can be written as a sum of positive squares in 4 ways, for example, as 237221604 + 17690436 = 15402^2 + 4206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 254911995 and 254912013.

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 23 ways as a sum of consecutive naturals, for example, 60234 + ... + 64326.

Almost surely, 2^254912040 is an apocalyptic number.

254912040 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 254912040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416728260).

254912040 is an abundant number, since it is smaller than the sum of its proper divisors (578544480).

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

254912040 is a wasteful number, since it uses less digits than its factorization.

254912040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 254912040 is about 15965.9650506946. The cubic root of 254912040 is about 634.0596493417.

The spelling of 254912040 in words is "two hundred fifty-four million, nine hundred twelve thousand, forty".