253827144 has 24 divisors (see below), whose sum is σ = 687448710. Its totient is φ = 84609024.

The previous prime is 253827143. The next prime is 253827173. The reversal of 253827144 is 441728352.

It is a happy number.

253827144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 235008900 + 18818244 = 15330^2 + 4338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 253827099 and 253827108.

It is not an unprimeable number, because it can be changed into a prime (253827143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1762617 + ... + 1762760.

Almost surely, 2^253827144 is an apocalyptic number.

253827144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253827144 is an abundant number, since it is smaller than the sum of its proper divisors (433621566).

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

253827144 is a wasteful number, since it uses less digits than its factorization.

253827144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525389 (or 3525382 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 253827144 is about 15931.9535525308. The cubic root of 253827144 is about 633.1588589259.

The spelling of 253827144 in words is "two hundred fifty-three million, eight hundred twenty-seven thousand, one hundred forty-four".