4564040 has 64 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1647360.

The previous prime is 4564039. The next prime is 4564057. The reversal of 4564040 is 404654.

It is a happy number.

It is a super-3 number, since 3×4564040³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4563997 and 4564015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34775 + ... + 34905.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 2^4564040 is an apocalyptic number.

4564040 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 4564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

4564040 is an abundant number, since it is smaller than the sum of its proper divisors (6745720).

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

4564040 is a wasteful number, since it uses less digits than its factorization.

4564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4564040 is about 2136.3613926487. The cubic root of 4564040 is about 165.8758446493.

Adding to 4564040 its reverse (404654), we get a palindrome (4968694).

It can be divided in two parts, 456 and 4040, that multiplied together give a triangular number (1842240 = T₁₉₁₉).

The spelling of 4564040 in words is "four million, five hundred sixty-four thousand, forty".