253305720 has 192 divisors, whose sum is σ = 897156000. Its totient is φ = 61737984.

The previous prime is 253305673. The next prime is 253305721. The reversal of 253305720 is 27503352.

253305720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253305721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197722 + ... + 198998.

Almost surely, 2^253305720 is an apocalyptic number.

253305720 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 253305720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448578000).

253305720 is an abundant number, since it is smaller than the sum of its proper divisors (643850280).

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

253305720 is a wasteful number, since it uses less digits than its factorization.

253305720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 253305720 is about 15915.5810450012. The cubic root of 253305720 is about 632.7250065227.

The spelling of 253305720 in words is "two hundred fifty-three million, three hundred five thousand, seven hundred twenty".