253140600 has 96 divisors (see below), whose sum is σ = 792270720. Its totient is φ = 66856320.

The previous prime is 253140577. The next prime is 253140607. The reversal of 253140600 is 6041352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253140607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62229 + ... + 66171.

It is an arithmetic number, because the mean of its divisors is an integer number (8252820).

Almost surely, 2^253140600 is an apocalyptic number.

253140600 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 253140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396135360).

253140600 is an abundant number, since it is smaller than the sum of its proper divisors (539130120).

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

253140600 is a wasteful number, since it uses less digits than its factorization.

253140600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253140600 is about 15910.3928298455. The cubic root of 253140600 is about 632.5874938201.

Adding to 253140600 its reverse (6041352), we get a palindrome (259181952).

The spelling of 253140600 in words is "two hundred fifty-three million, one hundred forty thousand, six hundred".