253255446000 has 240 divisors, whose sum is σ = 931092683040. Its totient is φ = 63980236800.

The previous prime is 253255445999. The next prime is 253255446013. The reversal of 253255446000 is 644552352.

253255446000 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 5 + 5 + 44 + 600 + 0 = 666.

253255446000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28257 + ... + 712256.

It is an arithmetic number, because the mean of its divisors is an integer number (3879552846).

Almost surely, 2^253255446000 is an apocalyptic number.

253255446000 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 253255446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465546341520).

253255446000 is an abundant number, since it is smaller than the sum of its proper divisors (677837237040).

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

253255446000 is a wasteful number, since it uses less digits than its factorization.

253255446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740561 (or 740542 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 253255446000 its reverse (644552352), we get a palindrome (253899998352).

The spelling of 253255446000 in words is "two hundred fifty-three billion, two hundred fifty-five million, four hundred forty-six thousand".