254876160 has 320 divisors, whose sum is σ = 1018220544. Its totient is φ = 52838400.

The previous prime is 254876143. The next prime is 254876161. The reversal of 254876160 is 61678452.

254876160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (254876161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591145 + ... + 591575.

Almost surely, 2^254876160 is an apocalyptic number.

254876160 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 254876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509110272).

254876160 is an abundant number, since it is smaller than the sum of its proper divisors (763344384).

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

254876160 is a wasteful number, since it uses less digits than its factorization.

254876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 254876160 is about 15964.8413709626. The cubic root of 254876160 is about 634.0298990434.

The spelling of 254876160 in words is "two hundred fifty-four million, eight hundred seventy-six thousand, one hundred sixty".