255034400 has 36 divisors (see below), whose sum is σ = 622604682. Its totient is φ = 102013440.

The previous prime is 255034399. The next prime is 255034441. The reversal of 255034400 is 4430552.

It can be written as a sum of positive squares in 3 ways, for example, as 160478224 + 94556176 = 12668^2 + 9724^2 .

It is a super-3 number, since 3×255034400³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158597 + ... + 160196.

Almost surely, 2^255034400 is an apocalyptic number.

255034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255034400 is an abundant number, since it is smaller than the sum of its proper divisors (367570282).

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

255034400 is a wasteful number, since it uses less digits than its factorization.

255034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318813 (or 318800 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 255034400 is about 15969.7964921285. The cubic root of 255034400 is about 634.1610844987.

Adding to 255034400 its reverse (4430552), we get a palindrome (259464952).

The spelling of 255034400 in words is "two hundred fifty-five million, thirty-four thousand, four hundred".