1253413400 has 48 divisors (see below), whose sum is σ = 3085617240. Its totient is φ = 471872000.

The previous prime is 1253413391. The next prime is 1253413459. The reversal of 1253413400 is 43143521.

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 11 ways as a sum of consecutive naturals, for example, 180926 + ... + 187725.

Almost surely, 2^1253413400 is an apocalyptic number.

1253413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253413400 is an abundant number, since it is smaller than the sum of its proper divisors (1832203840).

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

1253413400 is a wasteful number, since it uses less digits than its factorization.

1253413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368684 (or 368675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1253413400 is about 35403.5789151323. The cubic root of 1253413400 is about 1078.1969801693.

Adding to 1253413400 its reverse (43143521), we get a palindrome (1296556921).

The spelling of 1253413400 in words is "one billion, two hundred fifty-three million, four hundred thirteen thousand, four hundred".