254387079424 has 81 divisors (see below), whose sum is σ = 526378160217. Its totient is φ = 122694577152.

The previous prime is 254387079421. The next prime is 254387079439. The reversal of 254387079424 is 424970783452.

The square root of 254387079424 is 504368.

It is a perfect power (a square), and thus also a powerful number.

254387079424 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., 133394413824 + 120992665600 = 365232^2 + 347840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254387079421) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 234026209 + ... + 234027295.

Almost surely, 2^254387079424 is an apocalyptic number.

254387079424 is the 504368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254387079424

254387079424 is an abundant number, since it is smaller than the sum of its proper divisors (271991080793).

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

254387079424 is an frugal number, since it uses more digits than its factorization.

254387079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 254387079424 in words is "two hundred fifty-four billion, three hundred eighty-seven million, seventy-nine thousand, four hundred twenty-four".