254649096 has 320 divisors, whose sum is σ = 849710400. Its totient is φ = 70543872.

The previous prime is 254649079. The next prime is 254649107. The reversal of 254649096 is 690946452.

254649096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 5922051 + ... + 5922093.

It is an arithmetic number, because the mean of its divisors is an integer number (2655345).

Almost surely, 2^254649096 is an apocalyptic number.

254649096 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 254649096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424855200).

254649096 is an abundant number, since it is smaller than the sum of its proper divisors (595061304).

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

254649096 is a wasteful number, since it uses less digits than its factorization.

254649096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 254649096 is about 15957.7284097706. The cubic root of 254649096 is about 633.8415616457.

The spelling of 254649096 in words is "two hundred fifty-four million, six hundred forty-nine thousand, ninety-six".