253274960 has 80 divisors (see below), whose sum is σ = 616627200. Its totient is φ = 96629760.

The previous prime is 253274933. The next prime is 253274971. The reversal of 253274960 is 69472352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 180341 + ... + 181739.

It is an arithmetic number, because the mean of its divisors is an integer number (7707840).

Almost surely, 2^253274960 is an apocalyptic number.

253274960 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 253274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308313600).

253274960 is an abundant number, since it is smaller than the sum of its proper divisors (363352240).

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

253274960 is a wasteful number, since it uses less digits than its factorization.

253274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 253274960 is about 15914.6146670285. The cubic root of 253274960 is about 632.6993939822.

The spelling of 253274960 in words is "two hundred fifty-three million, two hundred seventy-four thousand, nine hundred sixty".