254976984 has 96 divisors (see below), whose sum is σ = 739415040. Its totient is φ = 82231200.

The previous prime is 254976983. The next prime is 254976989. The reversal of 254976984 is 489679452.

254976984 is a `hidden beast` number, since 2 + 549 + 7 + 6 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 254976984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254976983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58149 + ... + 62379.

It is an arithmetic number, because the mean of its divisors is an integer number (7702240).

Almost surely, 2^254976984 is an apocalyptic number.

254976984 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 254976984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369707520).

254976984 is an abundant number, since it is smaller than the sum of its proper divisors (484438056).

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

254976984 is a wasteful number, since it uses less digits than its factorization.

254976984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4267 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 254976984 is about 15967.9987474949. The cubic root of 254976984 is about 634.1134912779.

The spelling of 254976984 in words is "two hundred fifty-four million, nine hundred seventy-six thousand, nine hundred eighty-four".