4479840 has 192 divisors, whose sum is σ = 16873920. Its totient is φ = 1105920.

The previous prime is 4479829. The next prime is 4479851. The reversal of 4479840 is 489744.

4479840 is nontrivially palindromic in base 11 and base 14.

It is an interprime number because it is at equal distance from previous prime (4479829) and next prime (4479851).

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

It is a d-powerful number, because it can be written as 4² + 4⁹ + 7⁵ + 9⁴ + 8 + 4¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4479795 and 4479804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73410 + ... + 73470.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

Almost surely, 2^4479840 is an apocalyptic number.

4479840 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 4479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

4479840 is an abundant number, since it is smaller than the sum of its proper divisors (12394080).

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

4479840 is a wasteful number, since it uses less digits than its factorization.

4479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4479840 is about 2116.5632520669. The cubic root of 4479840 is about 164.8494494522.

The spelling of 4479840 in words is "four million, four hundred seventy-nine thousand, eight hundred forty".