253260828 has 72 divisors (see below), whose sum is σ = 665071680. Its totient is φ = 81164160.

The previous prime is 253260827. The next prime is 253260853. The reversal of 253260828 is 828062352.

253260828 is a `hidden beast` number, since 25 + 3 + 2 + 608 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253260792 and 253260801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253260827) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 382818 + ... + 383478.

Almost surely, 2^253260828 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 253260828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332535840).

253260828 is an abundant number, since it is smaller than the sum of its proper divisors (411810852).

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

253260828 is a wasteful number, since it uses less digits than its factorization.

253260828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 253260828 is about 15914.1706664218. The cubic root of 253260828 is about 632.6876261731.

The spelling of 253260828 in words is "two hundred fifty-three million, two hundred sixty thousand, eight hundred twenty-eight".