254508424960 has 144 divisors (see below), whose sum is σ = 641379336192. Its totient is φ = 96635289600.

The previous prime is 254508424949. The next prime is 254508424979. The reversal of 254508424960 is 69424805452.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876225 + ... + 2007295.

It is an arithmetic number, because the mean of its divisors is an integer number (4454023168).

Almost surely, 2^254508424960 is an apocalyptic number.

254508424960 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 254508424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320689668096).

254508424960 is an abundant number, since it is smaller than the sum of its proper divisors (386870911232).

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

254508424960 is a wasteful number, since it uses less digits than its factorization.

254508424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131170 (or 131156 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 254508424960 in words is "two hundred fifty-four billion, five hundred eight million, four hundred twenty-four thousand, nine hundred sixty".