254842560 has 168 divisors, whose sum is σ = 1001853216. Its totient is φ = 58245120.

The previous prime is 254842547. The next prime is 254842579. The reversal of 254842560 is 65248452.

It is a happy number.

254842560 is a `hidden beast` number, since 2 + 54 + 8 + 42 + 560 = 666.

254842560 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13840 + ... + 26480.

It is an arithmetic number, because the mean of its divisors is an integer number (5963412).

Almost surely, 2^254842560 is an apocalyptic number.

254842560 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 254842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500926608).

254842560 is an abundant number, since it is smaller than the sum of its proper divisors (747010656).

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

254842560 is a wasteful number, since it uses less digits than its factorization.

254842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 254842560 is about 15963.7890239128. The cubic root of 254842560 is about 634.0020367006.

The spelling of 254842560 in words is "two hundred fifty-four million, eight hundred forty-two thousand, five hundred sixty".