1253230400 has 42 divisors (see below), whose sum is σ = 3083733990. Its totient is φ = 501291520.

The previous prime is 1253230393. The next prime is 1253230411. The reversal of 1253230400 is 40323521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4032064 + 1249198336 = 2008^2 + 35344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 390035 + ... + 393234.

Almost surely, 2^1253230400 is an apocalyptic number.

1253230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253230400 is an abundant number, since it is smaller than the sum of its proper divisors (1830503590).

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

1253230400 is an equidigital number, since it uses as much as digits as its factorization.

1253230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783291 (or 783276 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1253230400 is about 35400.9943363177. The cubic root of 1253230400 is about 1078.1445048911.

Adding to 1253230400 its reverse (40323521), we get a palindrome (1293553921).

The spelling of 1253230400 in words is "one billion, two hundred fifty-three million, two hundred thirty thousand, four hundred".