255609120 has 288 divisors, whose sum is σ = 916417152. Its totient is φ = 59744256.

The previous prime is 255609073. The next prime is 255609131. The reversal of 255609120 is 21906552.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1865692 + ... + 1865828.

It is an arithmetic number, because the mean of its divisors is an integer number (3182004).

Almost surely, 2^255609120 is an apocalyptic number.

255609120 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 255609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458208576).

255609120 is an abundant number, since it is smaller than the sum of its proper divisors (660808032).

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

255609120 is a wasteful number, since it uses less digits than its factorization.

255609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 255609120 is about 15987.7803337424. The cubic root of 255609120 is about 634.6370877709.

The spelling of 255609120 in words is "two hundred fifty-five million, six hundred nine thousand, one hundred twenty".