1255410900 has 252 divisors, whose sum is σ = 4329027612. Its totient is φ = 314772480.

The previous prime is 1255410881. The next prime is 1255410913. The reversal of 1255410900 is 90145521.

1255410900 is a `hidden beast` number, since 1 + 2 + 554 + 109 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 159668496 + 1095742404 = 12636^2 + 33102^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1238794 + ... + 1239806.

It is an arithmetic number, because the mean of its divisors is an integer number (17178681).

Almost surely, 2^1255410900 is an apocalyptic number.

1255410900 is a gapful number since it is divisible by the number (10) 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 1255410900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164513806).

1255410900 is an abundant number, since it is smaller than the sum of its proper divisors (3073616712).

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

1255410900 is a wasteful number, since it uses less digits than its factorization.

1255410900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1255410900 is about 35431.7781094881. The cubic root of 1255410900 is about 1078.7694317379.

The spelling of 1255410900 in words is "one billion, two hundred fifty-five million, four hundred ten thousand, nine hundred".