254434560 has 144 divisors (see below), whose sum is σ = 819431424. Its totient is φ = 67280896.

The previous prime is 254434559. The next prime is 254434573. The reversal of 254434560 is 65434452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664129 + ... + 664511.

It is an arithmetic number, because the mean of its divisors is an integer number (5690496).

Almost surely, 2^254434560 is an apocalyptic number.

254434560 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 254434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409715712).

254434560 is an abundant number, since it is smaller than the sum of its proper divisors (564996864).

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

254434560 is a wasteful number, since it uses less digits than its factorization.

254434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 254434560 is about 15951.0049840128. The cubic root of 254434560 is about 633.6635126619.

It can be divided in two parts, 25443 and 4560, that added together give a palindrome (30003).

The spelling of 254434560 in words is "two hundred fifty-four million, four hundred thirty-four thousand, five hundred sixty".