254882880 has 336 divisors, whose sum is σ = 1027054080. Its totient is φ = 56807424.

The previous prime is 254882879. The next prime is 254882897. The reversal of 254882880 is 88288452.

254882880 is a `hidden beast` number, since 2 + 548 + 8 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 947386 + ... + 947654.

Almost surely, 2^254882880 is an apocalyptic number.

254882880 is a gapful number since it is divisible by the number (20) 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 254882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513527040).

254882880 is an abundant number, since it is smaller than the sum of its proper divisors (772171200).

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

254882880 is a wasteful number, since it uses less digits than its factorization.

254882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 254882880 is about 15965.0518320487. The cubic root of 254882880 is about 634.0354712181.

The spelling of 254882880 in words is "two hundred fifty-four million, eight hundred eighty-two thousand, eight hundred eighty".