254975616 has 144 divisors (see below), whose sum is σ = 853698690. Its totient is φ = 72834048.

The previous prime is 254975599. The next prime is 254975657. The reversal of 254975616 is 616579452.

254975616 is a `hidden beast` number, since 25 + 4 + 9 + 7 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 254016 = 15960^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54190 + ... + 58706.

Almost surely, 2^254975616 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 254975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426849345).

254975616 is an abundant number, since it is smaller than the sum of its proper divisors (598723074).

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

254975616 is a wasteful number, since it uses less digits than its factorization.

254975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4529 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 254975616 is about 15967.9559117628. The cubic root of 254975616 is about 634.1123572294.

It can be divided in two parts, 25497 and 5616, that added together give a palindrome (31113).

The spelling of 254975616 in words is "two hundred fifty-four million, nine hundred seventy-five thousand, six hundred sixteen".