254328480 has 288 divisors, whose sum is σ = 1035949824. Its totient is φ = 55554048.

The previous prime is 254328427. The next prime is 254328493. The reversal of 254328480 is 84823452.

254328480 is a `hidden beast` number, since 254 + 328 + 4 + 80 = 666.

254328480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×254328480² = 129365951478220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231292 + ... + 232388.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^254328480 is an apocalyptic number.

254328480 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 254328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517974912).

254328480 is an abundant number, since it is smaller than the sum of its proper divisors (781621344).

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

254328480 is a wasteful number, since it uses less digits than its factorization.

254328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 254328480 is about 15947.6794550179. The cubic root of 254328480 is about 633.5754371408.

The spelling of 254328480 in words is "two hundred fifty-four million, three hundred twenty-eight thousand, four hundred eighty".