254878960 has 160 divisors (see below), whose sum is σ = 735702912. Its totient is φ = 80117760.

The previous prime is 254878889. The next prime is 254878969. The reversal of 254878960 is 69878452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254878969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389994 + ... + 390646.

Almost surely, 2^254878960 is an apocalyptic number.

254878960 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 254878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367851456).

254878960 is an abundant number, since it is smaller than the sum of its proper divisors (480823952).

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

254878960 is a wasteful number, since it uses less digits than its factorization.

254878960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 254878960 is about 15964.9290634190. The cubic root of 254878960 is about 634.0322207948.

The spelling of 254878960 in words is "two hundred fifty-four million, eight hundred seventy-eight thousand, nine hundred sixty".