254091264 has 168 divisors, whose sum is σ = 791888688. Its totient is φ = 72253440.

The previous prime is 254091263. The next prime is 254091287. The reversal of 254091264 is 462190452.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×254091264² = 129124740882235392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254091263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204119 + ... + 1204329.

Almost surely, 2^254091264 is an apocalyptic number.

254091264 is a gapful number since it is divisible by the number (24) 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 254091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395944344).

254091264 is an abundant number, since it is smaller than the sum of its proper divisors (537797424).

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

254091264 is an equidigital number, since it uses as much as digits as its factorization.

254091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 254091264 is about 15940.2403996928. The cubic root of 254091264 is about 633.3783940854.

The spelling of 254091264 in words is "two hundred fifty-four million, ninety-one thousand, two hundred sixty-four".