1253775400 has 48 divisors (see below), whose sum is σ = 2934661500. Its totient is φ = 498132480.

The previous prime is 1253775359. The next prime is 1253775407. The reversal of 1253775400 is 45773521.

It can be written as a sum of positive squares in 6 ways, for example, as 17690436 + 1236084964 = 4206^2 + 35158^2 .

It is not an unprimeable number, because it can be changed into a prime (1253775407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8764 + ... + 50836.

Almost surely, 2^1253775400 is an apocalyptic number.

1253775400 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 1253775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467330750).

1253775400 is an abundant number, since it is smaller than the sum of its proper divisors (1680886100).

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

1253775400 is a wasteful number, since it uses less digits than its factorization.

1253775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42238 (or 42229 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 1253775400 is about 35408.6910235326. The cubic root of 1253775400 is about 1078.3007686820.

The spelling of 1253775400 in words is "one billion, two hundred fifty-three million, seven hundred seventy-five thousand, four hundred".