253001340 has 96 divisors (see below), whose sum is σ = 828576000. Its totient is φ = 63913536.

The previous prime is 253001339. The next prime is 253001369. The reversal of 253001340 is 43100352.

253001340 is a `hidden beast` number, since 2 + 530 + 0 + 134 + 0 = 666.

253001340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070 + ... + 22589.

It is an arithmetic number, because the mean of its divisors is an integer number (8631000).

Almost surely, 2^253001340 is an apocalyptic number.

253001340 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 253001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414288000).

253001340 is an abundant number, since it is smaller than the sum of its proper divisors (575574660).

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

253001340 is a wasteful number, since it uses less digits than its factorization.

253001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24696 (or 24688 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253001340 is about 15906.0158430702. The cubic root of 253001340 is about 632.4714709541.

Adding to 253001340 its reverse (43100352), we get a palindrome (296101692).

The spelling of 253001340 in words is "two hundred fifty-three million, one thousand, three hundred forty".