254710480 has 40 divisors (see below), whose sum is σ = 612628200. Its totient is φ = 98370048.

The previous prime is 254710459. The next prime is 254710481. The reversal of 254710480 is 84017452.

254710480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32581264 + 222129216 = 5708^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254710481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52575 + ... + 57214.

It is an arithmetic number, because the mean of its divisors is an integer number (15315705).

Almost surely, 2^254710480 is an apocalyptic number.

254710480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254710480 is an abundant number, since it is smaller than the sum of its proper divisors (357917720).

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

254710480 is a wasteful number, since it uses less digits than its factorization.

254710480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109831 (or 109825 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 254710480 is about 15959.6516252705. The cubic root of 254710480 is about 633.8924874166.

The spelling of 254710480 in words is "two hundred fifty-four million, seven hundred ten thousand, four hundred eighty".