253667460 has 96 divisors (see below), whose sum is σ = 757112832. Its totient is φ = 63310720.

The previous prime is 253667431. The next prime is 253667471. The reversal of 253667460 is 64766352.

It is an unprimeable number.

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, 62905 + ... + 66815.

It is an arithmetic number, because the mean of its divisors is an integer number (7886592).

Almost surely, 2^253667460 is an apocalyptic number.

253667460 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 253667460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378556416).

253667460 is an abundant number, since it is smaller than the sum of its proper divisors (503445372).

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

253667460 is a wasteful number, since it uses less digits than its factorization.

253667460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 253667460 is about 15926.9413259420. The cubic root of 253667460 is about 633.0260565432.

It can be divided in two parts, 2536 and 67460, that added together give a palindrome (69996).

The spelling of 253667460 in words is "two hundred fifty-three million, six hundred sixty-seven thousand, four hundred sixty".