254984408 has 48 divisors (see below), whose sum is σ = 576712080. Its totient is φ = 103519296.

The previous prime is 254984407. The next prime is 254984413. The reversal of 254984408 is 804489452.

It is a super-2 number, since 2×254984408² = 130034096646220928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254984407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13910 + ... + 26522.

It is an arithmetic number, because the mean of its divisors is an integer number (12014835).

Almost surely, 2^254984408 is an apocalyptic number.

254984408 is a gapful number since it is divisible by the number (28) 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 254984408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288356040).

254984408 is an abundant number, since it is smaller than the sum of its proper divisors (321727672).

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

254984408 is a wasteful number, since it uses less digits than its factorization.

254984408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 254984408 is about 15968.2312107509. The cubic root of 254984408 is about 634.1196455757.

The spelling of 254984408 in words is "two hundred fifty-four million, nine hundred eighty-four thousand, four hundred eight".