254926848 has 224 divisors, whose sum is σ = 792675072. Its totient is φ = 72089600.

The previous prime is 254926823. The next prime is 254926879. The reversal of 254926848 is 848629452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1105920) is a multiple of the sum of its prime divisors (80).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 254926797 and 254926806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6217708 + ... + 6217748.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728).

Almost surely, 2^254926848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254926848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396337536).

254926848 is an abundant number, since it is smaller than the sum of its proper divisors (537748224).

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

254926848 is a wasteful number, since it uses less digits than its factorization.

254926848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 254926848 is about 15966.4287804130. The cubic root of 254926848 is about 634.0719267446.

The spelling of 254926848 in words is "two hundred fifty-four million, nine hundred twenty-six thousand, eight hundred forty-eight".