253413600 has 288 divisors, whose sum is σ = 933690240. Its totient is φ = 59136000.

The previous prime is 253413599. The next prime is 253413607. The reversal of 253413600 is 6314352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253413607) 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 47 ways as a sum of consecutive naturals, for example, 765435 + ... + 765765.

It is an arithmetic number, because the mean of its divisors is an integer number (3241980).

Almost surely, 2^253413600 is an apocalyptic number.

253413600 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 253413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466845120).

253413600 is an abundant number, since it is smaller than the sum of its proper divisors (680276640).

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

253413600 is a wasteful number, since it uses less digits than its factorization.

253413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 253413600 is about 15918.9698159146. The cubic root of 253413600 is about 632.8148172145.

Adding to 253413600 its reverse (6314352), we get a palindrome (259727952).

The spelling of 253413600 in words is "two hundred fifty-three million, four hundred thirteen thousand, six hundred".