439254144 has 256 divisors, whose sum is σ = 1509273600. Its totient is φ = 123171840.

The previous prime is 439254133. The next prime is 439254149. The reversal of 439254144 is 441452934.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 439254099 and 439254108.

It is not an unprimeable number, because it can be changed into a prime (439254149) 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 31 ways as a sum of consecutive naturals, for example, 1620729 + ... + 1620999.

It is an arithmetic number, because the mean of its divisors is an integer number (5895600).

Almost surely, 2^439254144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754636800).

439254144 is an abundant number, since it is smaller than the sum of its proper divisors (1070019456).

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

439254144 is a wasteful number, since it uses less digits than its factorization.

439254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 439254144 is about 20958.3907779199. The cubic root of 439254144 is about 760.1604831918.

The spelling of 439254144 in words is "four hundred thirty-nine million, two hundred fifty-four thousand, one hundred forty-four".