4259840 has 68 divisors (see below), whose sum is σ = 11009964. Its totient is φ = 1572864.

The previous prime is 4259837. The next prime is 4259863. The reversal of 4259840 is 489524.

4259840 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1048576 + 3211264 = 1024^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4259797 and 4259806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327674 + ... + 327686.

Almost surely, 2^4259840 is an apocalyptic number.

4259840 is a gapful number since it is divisible by the number (40) 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 4259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504982).

4259840 is an abundant number, since it is smaller than the sum of its proper divisors (6750124).

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

4259840 is an frugal number, since it uses more digits than its factorization.

4259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4259840 is about 2063.9379835644. The cubic root of 4259840 is about 162.1055046112.

The spelling of 4259840 in words is "four million, two hundred fifty-nine thousand, eight hundred forty".