1255846400 has 120 divisors (see below), whose sum is σ = 3188678724. Its totient is φ = 489881600.

The previous prime is 1255846387. The next prime is 1255846409. The reversal of 1255846400 is 46485521.

It can be written as a sum of positive squares in 6 ways, for example, as 2119936 + 1253726464 = 1456^2 + 35408^2 .

It is not an unprimeable number, because it can be changed into a prime (1255846409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523604 + ... + 525996.

Almost surely, 2^1255846400 is an apocalyptic number.

1255846400 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 1255846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594339362).

1255846400 is an abundant number, since it is smaller than the sum of its proper divisors (1932832324).

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

1255846400 is an equidigital number, since it uses as much as digits as its factorization.

1255846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 1255846400 is about 35437.9231897130. The cubic root of 1255846400 is about 1078.8941584371.

The spelling of 1255846400 in words is "one billion, two hundred fifty-five million, eight hundred forty-six thousand, four hundred".