254998800 has 240 divisors, whose sum is σ = 1037572480. Its totient is φ = 58268160.

The previous prime is 254998787. The next prime is 254998811. The reversal of 254998800 is 8899452.

254998800 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 (240).

It is a super-3 number, since 3×254998800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 73914 + ... + 77286.

Almost surely, 2^254998800 is an apocalyptic number.

254998800 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 254998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518786240).

254998800 is an abundant number, since it is smaller than the sum of its proper divisors (782573680).

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

254998800 is a wasteful number, since it uses less digits than its factorization.

254998800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 254998800 is about 15968.6818491696. The cubic root of 254998800 is about 634.1315758192.

The spelling of 254998800 in words is "two hundred fifty-four million, nine hundred ninety-eight thousand, eight hundred".