254483040 has 384 divisors, whose sum is σ = 992839680. Its totient is φ = 53526528.

The previous prime is 254483039. The next prime is 254483041. The reversal of 254483040 is 40384452.

It is an interprime number because it is at equal distance from previous prime (254483039) and next prime (254483041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 254482989 and 254483007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254483041) 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 63 ways as a sum of consecutive naturals, for example, 2859316 + ... + 2859404.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^254483040 is an apocalyptic number.

254483040 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 254483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

254483040 is an abundant number, since it is smaller than the sum of its proper divisors (738356640).

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

254483040 is a wasteful number, since it uses less digits than its factorization.

254483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 254483040 is about 15952.5245650963. The cubic root of 254483040 is about 633.7037562202.

The spelling of 254483040 in words is "two hundred fifty-four million, four hundred eighty-three thousand, forty".