253985760 has 384 divisors, whose sum is σ = 1047997440. Its totient is φ = 56236032.

The previous prime is 253985747. The next prime is 253985777. The reversal of 253985760 is 67589352.

It is a happy number.

253985760 is a `hidden beast` number, since 2 + 539 + 8 + 57 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1118767 + ... + 1118993.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^253985760 is an apocalyptic number.

253985760 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 253985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720).

253985760 is an abundant number, since it is smaller than the sum of its proper divisors (794011680).

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

253985760 is a wasteful number, since it uses less digits than its factorization.

253985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 253985760 is about 15936.9306957143. The cubic root of 253985760 is about 633.2907179698.

The spelling of 253985760 in words is "two hundred fifty-three million, nine hundred eighty-five thousand, seven hundred sixty".