255431120 has 120 divisors (see below), whose sum is σ = 731665224. Its totient is φ = 82403328.

The previous prime is 255431087. The next prime is 255431129. The reversal of 255431120 is 21134552.

255431120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25120144 + 230310976 = 5012^2 + 15176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255431129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64724 + ... + 68556.

Almost surely, 2^255431120 is an apocalyptic number.

255431120 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 255431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365832612).

255431120 is an abundant number, since it is smaller than the sum of its proper divisors (476234104).

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

255431120 is a wasteful number, since it uses less digits than its factorization.

255431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 255431120 is about 15982.2126127767. The cubic root of 255431120 is about 634.4897382633.

Adding to 255431120 its reverse (21134552), we get a palindrome (276565672).

The spelling of 255431120 in words is "two hundred fifty-five million, four hundred thirty-one thousand, one hundred twenty".