254332431220 has 144 divisors (see below), whose sum is σ = 624839458320. Its totient is φ = 86704128000.

The previous prime is 254332431203. The next prime is 254332431253. The reversal of 254332431220 is 22134233452.

It can be written as a sum of positive squares in 8 ways, for example, as 40085645796 + 214246785424 = 200214^2 + 462868^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211766620 + ... + 211767820.

It is an arithmetic number, because the mean of its divisors is an integer number (4339162905).

Almost surely, 2^254332431220 is an apocalyptic number.

254332431220 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 254332431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312419729160).

254332431220 is an abundant number, since it is smaller than the sum of its proper divisors (370507027100).

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

254332431220 is a wasteful number, since it uses less digits than its factorization.

254332431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 254332431220 its reverse (22134233452), we get a palindrome (276466664672).

The spelling of 254332431220 in words is "two hundred fifty-four billion, three hundred thirty-two million, four hundred thirty-one thousand, two hundred twenty".