253402240 has 256 divisors, whose sum is σ = 788256000. Its totient is φ = 75644928.

The previous prime is 253402229. The next prime is 253402249. The reversal of 253402240 is 42204352.

It is not an unprimeable number, because it can be changed into a prime (253402249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106446 + ... + 1106674.

It is an arithmetic number, because the mean of its divisors is an integer number (3079125).

Almost surely, 2^253402240 is an apocalyptic number.

253402240 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 253402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394128000).

253402240 is an abundant number, since it is smaller than the sum of its proper divisors (534853760).

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

253402240 is a wasteful number, since it uses less digits than its factorization.

253402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 253402240 is about 15918.6130049072. The cubic root of 253402240 is about 632.8053611530.

Adding to 253402240 its reverse (42204352), we get a palindrome (295606592).

The spelling of 253402240 in words is "two hundred fifty-three million, four hundred two thousand, two hundred forty".