253541928 has 64 divisors (see below), whose sum is σ = 669312000. Its totient is φ = 79814592.

The previous prime is 253541891. The next prime is 253541941. The reversal of 253541928 is 829145352.

It is a Cunningham number, because it is equal to 15923²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190401 + ... + 191727.

It is an arithmetic number, because the mean of its divisors is an integer number (10458000).

Almost surely, 2^253541928 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 253541928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334656000).

253541928 is an abundant number, since it is smaller than the sum of its proper divisors (415770072).

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

253541928 is a wasteful number, since it uses less digits than its factorization.

253541928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1770 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 253541928 is about 15922.9999685989. Note that the first 4 decimals coincide. The cubic root of 253541928 is about 632.9216177912.

The spelling of 253541928 in words is "two hundred fifty-three million, five hundred forty-one thousand, nine hundred twenty-eight".