254155440 has 320 divisors, whose sum is σ = 1041361920. Its totient is φ = 49643520.

The previous prime is 254155417. The next prime is 254155481. The reversal of 254155440 is 44551452.

254155440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 254155398 and 254155407.

It is an unprimeable number.

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, 313756 + ... + 314564.

It is an arithmetic number, because the mean of its divisors is an integer number (3254256).

Almost surely, 2^254155440 is an apocalyptic number.

254155440 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 254155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520680960).

254155440 is an abundant number, since it is smaller than the sum of its proper divisors (787206480).

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

254155440 is a wasteful number, since it uses less digits than its factorization.

254155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 254155440 is about 15942.2532911756. The cubic root of 254155440 is about 633.4317138644.

The spelling of 254155440 in words is "two hundred fifty-four million, one hundred fifty-five thousand, four hundred forty".