254679880 has 256 divisors, whose sum is σ = 759951360. Its totient is φ = 74649600.

The previous prime is 254679869. The next prime is 254679881. The reversal of 254679880 is 88976452.

254679880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (254679881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4175050 + ... + 4175110.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^254679880 is an apocalyptic number.

254679880 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 254679880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

254679880 is an abundant number, since it is smaller than the sum of its proper divisors (505271480).

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

254679880 is a wasteful number, since it uses less digits than its factorization.

254679880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

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

The square root of 254679880 is about 15958.6929289337. The cubic root of 254679880 is about 633.8671018796.

The spelling of 254679880 in words is "two hundred fifty-four million, six hundred seventy-nine thousand, eight hundred eighty".