1253388400 has 120 divisors (see below), whose sum is σ = 3312359424. Its totient is φ = 451987200.

The previous prime is 1253388397. The next prime is 1253388403. The reversal of 1253388400 is 48833521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1253388397) and next prime (1253388403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253388403) 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 23 ways as a sum of consecutive naturals, for example, 557679 + ... + 559921.

Almost surely, 2^1253388400 is an apocalyptic number.

1253388400 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 1253388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656179712).

1253388400 is an abundant number, since it is smaller than the sum of its proper divisors (2058971024).

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

1253388400 is a wasteful number, since it uses less digits than its factorization.

1253388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 1253388400 is about 35403.2258417224. The cubic root of 1253388400 is about 1078.1898117167.

The spelling of 1253388400 in words is "one billion, two hundred fifty-three million, three hundred eighty-eight thousand, four hundred".