254048256 has 288 divisors, whose sum is σ = 919900800. Its totient is φ = 65617920.

The previous prime is 254048233. The next prime is 254048293. The reversal of 254048256 is 652840452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 254048256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419175 + ... + 1419353.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^254048256 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 254048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

254048256 is an abundant number, since it is smaller than the sum of its proper divisors (665852544).

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

254048256 is a wasteful number, since it uses less digits than its factorization.

254048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 254048256 is about 15938.8913039772. The cubic root of 254048256 is about 633.3426564340.

The spelling of 254048256 in words is "two hundred fifty-four million, forty-eight thousand, two hundred fifty-six".