254262880 has 48 divisors (see below), whose sum is σ = 636037920. Its totient is φ = 95721472.

The previous prime is 254262859. The next prime is 254262887. The reversal of 254262880 is 88262452.

It is a super-2 number, since 2×254262880² = 129299224291788800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254262887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44020 + ... + 49459.

It is an arithmetic number, because the mean of its divisors is an integer number (13250790).

Almost surely, 2^254262880 is an apocalyptic number.

254262880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254262880 is an abundant number, since it is smaller than the sum of its proper divisors (381775040).

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

254262880 is a wasteful number, since it uses less digits than its factorization.

254262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93511 (or 93503 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 254262880 is about 15945.6225968132. The cubic root of 254262880 is about 633.5209588763.

The spelling of 254262880 in words is "two hundred fifty-four million, two hundred sixty-two thousand, eight hundred eighty".