254064096 has 288 divisors, whose sum is σ = 880588800. Its totient is φ = 68428800.

The previous prime is 254064091. The next prime is 254064149. The reversal of 254064096 is 690460452.

254064096 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 640 + 9 + 6 = 666.

254064096 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 (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 254064096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254064091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276605 + ... + 1276803.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^254064096 is an apocalyptic number.

254064096 is a gapful number since it is divisible by the number (26) 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 254064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

254064096 is an abundant number, since it is smaller than the sum of its proper divisors (626524704).

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

254064096 is a wasteful number, since it uses less digits than its factorization.

254064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 254064096 is about 15939.3881940305. The cubic root of 254064096 is about 633.3558192078.

The spelling of 254064096 in words is "two hundred fifty-four million, sixty-four thousand, ninety-six".