254004880 has 40 divisors (see below), whose sum is σ = 595999800. Its totient is φ = 100666368.

The previous prime is 254004859. The next prime is 254004911. The reversal of 254004880 is 88400452.

254004880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21381376 + 232623504 = 4624^2 + 15252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5845 + ... + 23284.

It is an arithmetic number, because the mean of its divisors is an integer number (14899995).

Almost surely, 2^254004880 is an apocalyptic number.

254004880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254004880 is an abundant number, since it is smaller than the sum of its proper divisors (341994920).

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

254004880 is a wasteful number, since it uses less digits than its factorization.

254004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29251 (or 29245 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 254004880 is about 15937.5305489903. The cubic root of 254004880 is about 633.3066089062.

The spelling of 254004880 in words is "two hundred fifty-four million, four thousand, eight hundred eighty".