4679440 has 40 divisors (see below), whose sum is σ = 11260440. Its totient is φ = 1806336.

The previous prime is 4679429. The next prime is 4679447. The reversal of 4679440 is 449764.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 3504384 = 1084^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4679396 and 4679405.

It is not an unprimeable number, because it can be changed into a prime (4679447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 3328.

It is an arithmetic number, because the mean of its divisors is an integer number (281511).

Almost surely, 2^4679440 is an apocalyptic number.

4679440 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 4679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630220).

4679440 is an abundant number, since it is smaller than the sum of its proper divisors (6581000).

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

4679440 is a wasteful number, since it uses less digits than its factorization.

4679440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4679440 is about 2163.2013313605. The cubic root of 4679440 is about 167.2622601860.

The spelling of 4679440 in words is "four million, six hundred seventy-nine thousand, four hundred forty".