255120400 has 60 divisors (see below), whose sum is σ = 621394132. Its totient is φ = 100638720.

The previous prime is 255120329. The next prime is 255120413. The reversal of 255120400 is 4021552.

It can be written as a sum of positive squares in 6 ways, for example, as 7246864 + 247873536 = 2692^2 + 15744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24832 + ... + 33568.

Almost surely, 2^255120400 is an apocalyptic number.

255120400 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 255120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310697066).

255120400 is an abundant number, since it is smaller than the sum of its proper divisors (366273732).

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

255120400 is a wasteful number, since it uses less digits than its factorization.

255120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 255120400 is about 15972.4888480161. The cubic root of 255120400 is about 634.2323581834.

Adding to 255120400 its reverse (4021552), we get a palindrome (259141952).

The spelling of 255120400 in words is "two hundred fifty-five million, one hundred twenty thousand, four hundred".