253829856 has 144 divisors (see below), whose sum is σ = 809536896. Its totient is φ = 68204544.

The previous prime is 253829831. The next prime is 253829881. The reversal of 253829856 is 658928352.

It is an interprime number because it is at equal distance from previous prime (253829831) and next prime (253829881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193555 + ... + 194861.

It is an arithmetic number, because the mean of its divisors is an integer number (5621784).

Almost surely, 2^253829856 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 253829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404768448).

253829856 is an abundant number, since it is smaller than the sum of its proper divisors (555707040).

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

253829856 is a wasteful number, since it uses less digits than its factorization.

253829856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1336 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 253829856 is about 15932.0386642765. The cubic root of 253829856 is about 633.1611138998.

The spelling of 253829856 in words is "two hundred fifty-three million, eight hundred twenty-nine thousand, eight hundred fifty-six".