4468440 has 64 divisors (see below), whose sum is σ = 13996800. Its totient is φ = 1139072.

The previous prime is 4468421. The next prime is 4468441. The reversal of 4468440 is 448644.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4468398 and 4468407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1951 + ... + 3569.

It is an arithmetic number, because the mean of its divisors is an integer number (218700).

Almost surely, 2^4468440 is an apocalyptic number.

4468440 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 4468440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998400).

4468440 is an abundant number, since it is smaller than the sum of its proper divisors (9528360).

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

4468440 is a wasteful number, since it uses less digits than its factorization.

4468440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4468440 is about 2113.8684916522. The cubic root of 4468440 is about 164.7094980199.

The spelling of 4468440 in words is "four million, four hundred sixty-eight thousand, four hundred forty".