4390560 has 72 divisors (see below), whose sum is σ = 14987700. Its totient is φ = 1170432.

The previous prime is 4390559. The next prime is 4390613. The reversal of 4390560 is 650934.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 374544 = 2004^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4390560² = 38554034227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85 + ... + 2964.

Almost surely, 2^4390560 is an apocalyptic number.

4390560 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 4390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493850).

4390560 is an abundant number, since it is smaller than the sum of its proper divisors (10597140).

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

4390560 is a wasteful number, since it uses less digits than its factorization.

4390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4390560 is about 2095.3663164230. The cubic root of 4390560 is about 163.7469824435.

It can be divided in two parts, 4390 and 560, that added together give a triangular number (4950 = T₉₉).

The spelling of 4390560 in words is "four million, three hundred ninety thousand, five hundred sixty".