254496984 has 96 divisors (see below), whose sum is σ = 743371200. Its totient is φ = 72394560.

The previous prime is 254496971. The next prime is 254496997. The reversal of 254496984 is 489694452.

254496984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254496971) and next prime (254496997).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445419 + ... + 445989.

It is an arithmetic number, because the mean of its divisors is an integer number (7743450).

Almost surely, 2^254496984 is an apocalyptic number.

254496984 is a gapful number since it is divisible by the number (24) 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 254496984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371685600).

254496984 is an abundant number, since it is smaller than the sum of its proper divisors (488874216).

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

254496984 is a wasteful number, since it uses less digits than its factorization.

254496984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 962 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 254496984 is about 15952.9616059213. The cubic root of 254496984 is about 633.7153302774.

The spelling of 254496984 in words is "two hundred fifty-four million, four hundred ninety-six thousand, nine hundred eighty-four".