254803968 has 126 divisors (see below), whose sum is σ = 763362964. Its totient is φ = 84934656.

The previous prime is 254803957. The next prime is 254803981. The reversal of 254803968 is 869308452.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (2!)⁵.

254803968 is a `hidden beast` number, since 254 + 8 + 0 + 396 + 8 = 666.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84934655 + 84934656 + 84934657.

Almost surely, 2^254803968 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 254803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381681482).

254803968 is an abundant number, since it is smaller than the sum of its proper divisors (508558996).

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

254803968 is an frugal number, since it uses more digits than its factorization.

254803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 254803968 is about 15962.5802425548. The cubic root of 254803968 is about 633.9700317878.

The spelling of 254803968 in words is "two hundred fifty-four million, eight hundred three thousand, nine hundred sixty-eight".