254880000 has 360 divisors, whose sum is σ = 957818400. Its totient is φ = 66816000.

The previous prime is 254879987. The next prime is 254880001. The reversal of 254880000 is 88452.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (254880001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319971 + ... + 4320029.

Almost surely, 2^254880000 is an apocalyptic number.

254880000 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 254880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478909200).

254880000 is an abundant number, since it is smaller than the sum of its proper divisors (702938400).

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

254880000 is an frugal number, since it uses more digits than its factorization.

254880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 254880000 is about 15964.9616347801. The cubic root of 254880000 is about 634.0330831552.

The spelling of 254880000 in words is "two hundred fifty-four million, eight hundred eighty thousand".