253146300 has 144 divisors (see below), whose sum is σ = 818947584. Its totient is φ = 59840000.

The previous prime is 253146281. The next prime is 253146317. The reversal of 253146300 is 3641352.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134365 + ... + 136235.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^253146300 is an apocalyptic number.

253146300 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 253146300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

253146300 is an abundant number, since it is smaller than the sum of its proper divisors (565801284).

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

253146300 is a wasteful number, since it uses less digits than its factorization.

253146300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1933 counting only the distinct ones).

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

The square root of 253146300 is about 15910.5719570354. The cubic root of 253146300 is about 632.5922418029.

Adding to 253146300 its reverse (3641352), we get a palindrome (256787652).

The spelling of 253146300 in words is "two hundred fifty-three million, one hundred forty-six thousand, three hundred".