254304000000 has 504 divisors, whose sum is σ = 919123781940. Its totient is φ = 67737600000.

The previous prime is 254303999951. The next prime is 254304000011. The reversal of 254304000000 is 403452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999559 + ... + 288000441.

Almost surely, 2^254304000000 is an apocalyptic number.

254304000000 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 254304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459561890970).

254304000000 is an abundant number, since it is smaller than the sum of its proper divisors (664819781940).

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

254304000000 is an frugal number, since it uses more digits than its factorization.

254304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 254304000000 its reverse (403452), we get a palindrome (254304403452).

The spelling of 254304000000 in words is "two hundred fifty-four billion, three hundred four million", and thus it is an aban number.