253400340 has 72 divisors (see below), whose sum is σ = 748893600. Its totient is φ = 64011456.

The previous prime is 253400311. The next prime is 253400393. The reversal of 253400340 is 43004352.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 15811 + ... + 27509.

It is an arithmetic number, because the mean of its divisors is an integer number (10401300).

Almost surely, 2^253400340 is an apocalyptic number.

253400340 is a gapful number since it is divisible by the number (20) 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 253400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374446800).

253400340 is an abundant number, since it is smaller than the sum of its proper divisors (495493260).

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

253400340 is a wasteful number, since it uses less digits than its factorization.

253400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11749 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 253400340 is about 15918.5533262291. The cubic root of 253400340 is about 632.8037795659.

Adding to 253400340 its reverse (43004352), we get a palindrome (296404692).

The spelling of 253400340 in words is "two hundred fifty-three million, four hundred thousand, three hundred forty".