254042880 has 288 divisors, whose sum is σ = 999957504. Its totient is φ = 53526528.

The previous prime is 254042879. The next prime is 254042881. The reversal of 254042880 is 88240452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (254042879) and next prime (254042881).

It is not an unprimeable number, because it can be changed into a prime (254042881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349077 + ... + 349803.

Almost surely, 2^254042880 is an apocalyptic number.

254042880 is a gapful number since it is divisible by the number (20) 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 254042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499978752).

254042880 is an abundant number, since it is smaller than the sum of its proper divisors (745914624).

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

254042880 is a wasteful number, since it uses less digits than its factorization.

254042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 254042880 is about 15938.7226589837. The cubic root of 254042880 is about 633.3381889440.

The spelling of 254042880 in words is "two hundred fifty-four million, forty-two thousand, eight hundred eighty".