254349648 has 120 divisors (see below), whose sum is σ = 861427008. Its totient is φ = 68391936.

The previous prime is 254349611. The next prime is 254349653. The reversal of 254349648 is 846943452.

254349648 is a `hidden beast` number, since 2 + 543 + 49 + 64 + 8 = 666.

254349648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9715 + ... + 24557.

Almost surely, 2^254349648 is an apocalyptic number.

254349648 is a gapful number since it is divisible by the number (28) 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 254349648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430713504).

254349648 is an abundant number, since it is smaller than the sum of its proper divisors (607077360).

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

254349648 is a wasteful number, since it uses less digits than its factorization.

254349648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14881 (or 14872 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 254349648 is about 15948.3431114332. The cubic root of 254349648 is about 633.5930143475.

The spelling of 254349648 in words is "two hundred fifty-four million, three hundred forty-nine thousand, six hundred forty-eight".