4365440 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1649664.

The previous prime is 4365433. The next prime is 4365443. The reversal of 4365440 is 445634.

4365440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 4² + 3⁹ + 6⁵ + 5⁷ + 4⁸ + 4¹¹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (4365443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11981 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^4365440 is an apocalyptic number.

4365440 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 4365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

4365440 is an abundant number, since it is smaller than the sum of its proper divisors (6650560).

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

4365440 is a wasteful number, since it uses less digits than its factorization.

4365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4365440 is about 2089.3635394541. The cubic root of 4365440 is about 163.4340995128.

The spelling of 4365440 in words is "four million, three hundred sixty-five thousand, four hundred forty".