253620828 has 48 divisors (see below), whose sum is σ = 661615360. Its totient is φ = 84015792.

The previous prime is 253620817. The next prime is 253620853. The reversal of 253620828 is 828026352.

253620828 is a `hidden beast` number, since 2 + 5 + 3 + 620 + 8 + 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 = 253620792 and 253620801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10401 + ... + 24807.

Almost surely, 2^253620828 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 253620828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330807680).

253620828 is an abundant number, since it is smaller than the sum of its proper divisors (407994532).

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

253620828 is a wasteful number, since it uses less digits than its factorization.

253620828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583 (or 14575 counting only the distinct ones).

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

The square root of 253620828 is about 15925.4773240867. The cubic root of 253620828 is about 632.9872641808.

The spelling of 253620828 in words is "two hundred fifty-three million, six hundred twenty thousand, eight hundred twenty-eight".