253242720 has 288 divisors, whose sum is σ = 930877920. Its totient is φ = 64281600.

The previous prime is 253242713. The next prime is 253242733. The reversal of 253242720 is 27242352.

253242720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4151490 + ... + 4151550.

It is an arithmetic number, because the mean of its divisors is an integer number (3232215).

Almost surely, 2^253242720 is an apocalyptic number.

253242720 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 253242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465438960).

253242720 is an abundant number, since it is smaller than the sum of its proper divisors (677635200).

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

253242720 is a wasteful number, since it uses less digits than its factorization.

253242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 253242720 is about 15913.6017293383. The cubic root of 253242720 is about 632.6725468828.

The spelling of 253242720 in words is "two hundred fifty-three million, two hundred forty-two thousand, seven hundred twenty".