253409856 has 112 divisors (see below), whose sum is σ = 769802880. Its totient is φ = 72069120.

The previous prime is 253409839. The next prime is 253409899. The reversal of 253409856 is 658904352.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 549466 + ... + 549926.

It is an arithmetic number, because the mean of its divisors is an integer number (6873240).

Almost surely, 2^253409856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384901440).

253409856 is an abundant number, since it is smaller than the sum of its proper divisors (516393024).

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

253409856 is a wasteful number, since it uses less digits than its factorization.

253409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 253409856 is about 15918.8522199309. The cubic root of 253409856 is about 632.8117007410.

The spelling of 253409856 in words is "two hundred fifty-three million, four hundred nine thousand, eight hundred fifty-six".