254909088 has 72 divisors (see below), whose sum is σ = 828461088. Its totient is φ = 72830592.

The previous prime is 254909077. The next prime is 254909089. The reversal of 254909088 is 880909452.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (254909089) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61206 + ... + 65237.

It is an arithmetic number, because the mean of its divisors is an integer number (11506404).

Almost surely, 2^254909088 is an apocalyptic number.

254909088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

254909088 is an abundant number, since it is smaller than the sum of its proper divisors (573552000).

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

254909088 is a wasteful number, since it uses less digits than its factorization.

254909088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126466 (or 126455 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 254909088 is about 15965.8726037758. The cubic root of 254909088 is about 634.0572017637.

The spelling of 254909088 in words is "two hundred fifty-four million, nine hundred nine thousand, eighty-eight".