254566272 has 64 divisors (see below), whose sum is σ = 677900160. Its totient is φ = 84641280.

The previous prime is 254566259. The next prime is 254566307. The reversal of 254566272 is 272665452.

254566272 is digitally balanced in base 2, 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 254566272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246397 + ... + 247427.

It is an arithmetic number, because the mean of its divisors is an integer number (10592190).

Almost surely, 2^254566272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338950080).

254566272 is an abundant number, since it is smaller than the sum of its proper divisors (423333888).

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

254566272 is a wasteful number, since it uses less digits than its factorization.

254566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1679 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 254566272 is about 15955.1330925192. The cubic root of 254566272 is about 633.7728357181.

The spelling of 254566272 in words is "two hundred fifty-four million, five hundred sixty-six thousand, two hundred seventy-two".