1254250400 has 108 divisors (see below), whose sum is σ = 3315947922. Its totient is φ = 463057920.

The previous prime is 1254250399. The next prime is 1254250409. The reversal of 1254250400 is 40524521.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1373584 + 1252876816 = 1172^2 + 35396^2 .

It is not an unprimeable number, because it can be changed into a prime (1254250409) 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 17 ways as a sum of consecutive naturals, for example, 130562 + ... + 139838.

Almost surely, 2^1254250400 is an apocalyptic number.

1254250400 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 1254250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657973961).

1254250400 is an abundant number, since it is smaller than the sum of its proper divisors (2061697522).

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

1254250400 is a wasteful number, since it uses less digits than its factorization.

1254250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1254250400 is about 35415.3977811912. The cubic root of 1254250400 is about 1078.4369249655.

Adding to 1254250400 its reverse (40524521), we get a palindrome (1294774921).

The spelling of 1254250400 in words is "one billion, two hundred fifty-four million, two hundred fifty thousand, four hundred".