253921000 has 64 divisors (see below), whose sum is σ = 613416960. Its totient is φ = 98280000.

The previous prime is 253920991. The next prime is 253921001. The reversal of 253921000 is 129352.

It is not an unprimeable number, because it can be changed into a prime (253921001) 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 15 ways as a sum of consecutive naturals, for example, 26905 + ... + 35095.

It is an arithmetic number, because the mean of its divisors is an integer number (9584640).

Almost surely, 2^253921000 is an apocalyptic number.

253921000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306708480).

253921000 is an abundant number, since it is smaller than the sum of its proper divisors (359495960).

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

253921000 is a wasteful number, since it uses less digits than its factorization.

253921000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 253921000 is about 15934.8988073348. The cubic root of 253921000 is about 633.2368889768.

The spelling of 253921000 in words is "two hundred fifty-three million, nine hundred twenty-one thousand".