253302240 has 192 divisors, whose sum is σ = 853493760. Its totient is φ = 63006720.

The previous prime is 253302233. The next prime is 253302241. The reversal of 253302240 is 42203352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253302241) 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 31 ways as a sum of consecutive naturals, for example, 431227 + ... + 431813.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^253302240 is an apocalyptic number.

253302240 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 253302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

253302240 is an abundant number, since it is smaller than the sum of its proper divisors (600191520).

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

253302240 is a wasteful number, since it uses less digits than its factorization.

253302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 253302240 is about 15915.4717177971. The cubic root of 253302240 is about 632.7221089791.

Adding to 253302240 its reverse (42203352), we get a palindrome (295505592).

The spelling of 253302240 in words is "two hundred fifty-three million, three hundred two thousand, two hundred forty".