254894880 has 144 divisors (see below), whose sum is σ = 847977984. Its totient is φ = 64350720.

The previous prime is 254894873. The next prime is 254894911. The reversal of 254894880 is 88498452.

It is a super-5 number, since 5×254894880⁵ (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172545 + ... + 174015.

It is an arithmetic number, because the mean of its divisors is an integer number (5888736).

Almost surely, 2^254894880 is an apocalyptic number.

254894880 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 254894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423988992).

254894880 is an abundant number, since it is smaller than the sum of its proper divisors (593083104).

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

254894880 is a wasteful number, since it uses less digits than its factorization.

254894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 254894880 is about 15965.4276485160. The cubic root of 254894880 is about 634.0454212865.

The spelling of 254894880 in words is "two hundred fifty-four million, eight hundred ninety-four thousand, eight hundred eighty".