253345400 has 96 divisors (see below), whose sum is σ = 734417280. Its totient is φ = 78960000.

The previous prime is 253345399. The next prime is 253345403. The reversal of 253345400 is 4543352.

It is a self number, because there is not a number n which added to its sum of digits gives 253345400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253345403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7175 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (7650180).

Almost surely, 2^253345400 is an apocalyptic number.

253345400 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 253345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367208640).

253345400 is an abundant number, since it is smaller than the sum of its proper divisors (481071880).

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

253345400 is a wasteful number, since it uses less digits than its factorization.

253345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16485 (or 16476 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 253345400 is about 15916.8275733577. The cubic root of 253345400 is about 632.7580433045.

Adding to 253345400 its reverse (4543352), we get a palindrome (257888752).

The spelling of 253345400 in words is "two hundred fifty-three million, three hundred forty-five thousand, four hundred".