253827980 has 48 divisors (see below), whose sum is σ = 613272576. Its totient is φ = 86443200.

The previous prime is 253827979. The next prime is 253827989. The reversal of 253827980 is 89728352.

253827980 = T₄₁₃ + T₄₁₄ + ... + T₁₁₆₇.

It is not an unprimeable number, because it can be changed into a prime (253827989) 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, 15137 + ... + 27143.

It is an arithmetic number, because the mean of its divisors is an integer number (12776512).

Almost surely, 2^253827980 is an apocalyptic number.

253827980 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 253827980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306636288).

253827980 is an abundant number, since it is smaller than the sum of its proper divisors (359444596).

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

253827980 is a wasteful number, since it uses less digits than its factorization.

253827980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 253827980 is about 15931.9797890909. The cubic root of 253827980 is about 633.1595540450.

The spelling of 253827980 in words is "two hundred fifty-three million, eight hundred twenty-seven thousand, nine hundred eighty".