254327040 has 360 divisors, whose sum is σ = 997210368. Its totient is φ = 61378560.

The previous prime is 254327039. The next prime is 254327053. The reversal of 254327040 is 40723452.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 254326995 and 254327013.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1140369 + ... + 1140591.

Almost surely, 2^254327040 is an apocalyptic number.

254327040 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 254327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498605184).

254327040 is an abundant number, since it is smaller than the sum of its proper divisors (742883328).

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

254327040 is a wasteful number, since it uses less digits than its factorization.

254327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 254327040 is about 15947.6343073197. The cubic root of 254327040 is about 633.5742413771.

The spelling of 254327040 in words is "two hundred fifty-four million, three hundred twenty-seven thousand, forty".