255754240 has 128 divisors (see below), whose sum is σ = 704632320. Its totient is φ = 87293952.

The previous prime is 255754237. The next prime is 255754243. The reversal of 255754240 is 42457552.

It is an interprime number because it is at equal distance from previous prime (255754237) and next prime (255754243).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 255754196 and 255754205.

It is not an unprimeable number, because it can be changed into a prime (255754243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146769 + ... + 1146991.

It is an arithmetic number, because the mean of its divisors is an integer number (5504940).

Almost surely, 2^255754240 is an apocalyptic number.

255754240 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 255754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352316160).

255754240 is an abundant number, since it is smaller than the sum of its proper divisors (448878080).

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

255754240 is an frugal number, since it uses more digits than its factorization.

255754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 34.

The square root of 255754240 is about 15992.3181559147. The cubic root of 255754240 is about 634.7571683980.

The spelling of 255754240 in words is "two hundred fifty-five million, seven hundred fifty-four thousand, two hundred forty".