254817216 has 168 divisors, whose sum is σ = 789547824. Its totient is φ = 78274560.

The previous prime is 254817209. The next prime is 254817217. The reversal of 254817216 is 612718452.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254817217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518731 + ... + 519221.

Almost surely, 2^254817216 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 254817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394773912).

254817216 is an abundant number, since it is smaller than the sum of its proper divisors (534730608).

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

254817216 is a wasteful number, since it uses less digits than its factorization.

254817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 254817216 is about 15962.9952076670. The cubic root of 254817216 is about 633.9810189131.

The spelling of 254817216 in words is "two hundred fifty-four million, eight hundred seventeen thousand, two hundred sixteen".