255719520 has 288 divisors, whose sum is σ = 1041610752. Its totient is φ = 55858176.

The previous prime is 255719509. The next prime is 255719531. The reversal of 255719520 is 25917552.

255719520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255719509) and next prime (255719531).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231289 + ... + 232391.

It is an arithmetic number, because the mean of its divisors is an integer number (3616704).

Almost surely, 2^255719520 is an apocalyptic number.

255719520 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 255719520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520805376).

255719520 is an abundant number, since it is smaller than the sum of its proper divisors (785891232).

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

255719520 is a wasteful number, since it uses less digits than its factorization.

255719520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 255719520 is about 15991.2325978956. The cubic root of 255719520 is about 634.7284432095.

The spelling of 255719520 in words is "two hundred fifty-five million, seven hundred nineteen thousand, five hundred twenty".