253400312 has 64 divisors (see below), whose sum is σ = 533744640. Its totient is φ = 111798400.

The previous prime is 253400311. The next prime is 253400393. The reversal of 253400312 is 213004352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253400311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814637 + ... + 814947.

It is an arithmetic number, because the mean of its divisors is an integer number (8339760).

Almost surely, 2^253400312 is an apocalyptic number.

253400312 is a gapful number since it is divisible by the number (22) 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 253400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266872320).

253400312 is an abundant number, since it is smaller than the sum of its proper divisors (280344328).

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

253400312 is a wasteful number, since it uses less digits than its factorization.

253400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

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

The square root of 253400312 is about 15918.5524467522. The cubic root of 253400312 is about 632.8037562582.

Adding to 253400312 its reverse (213004352), we get a palindrome (466404664).

The spelling of 253400312 in words is "two hundred fifty-three million, four hundred thousand, three hundred twelve".