253215340 has 72 divisors (see below), whose sum is σ = 654998400. Its totient is φ = 81704448.

The previous prime is 253215317. The next prime is 253215343. The reversal of 253215340 is 43512352.

It is a super-4 number, since 4×253215340⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253215343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9061 + ... + 24259.

It is an arithmetic number, because the mean of its divisors is an integer number (9097200).

Almost surely, 2^253215340 is an apocalyptic number.

253215340 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 253215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

253215340 is an abundant number, since it is smaller than the sum of its proper divisors (401783060).

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

253215340 is a wasteful number, since it uses less digits than its factorization.

253215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15239 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 253215340 is about 15912.7414357175. The cubic root of 253215340 is about 632.6497450445.

Adding to 253215340 its reverse (43512352), we get a palindrome (296727692).

The spelling of 253215340 in words is "two hundred fifty-three million, two hundred fifteen thousand, three hundred forty".