4464840 has 64 divisors (see below), whose sum is σ = 13867200. Its totient is φ = 1148672.

The previous prime is 4464839. The next prime is 4464841. The reversal of 4464840 is 484644.

It is an interprime number because it is at equal distance from previous prime (4464839) and next prime (4464841).

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 = 4464798 and 4464807.

It is not an unprimeable number, because it can be changed into a prime (4464841) 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, 2839 + ... + 4121.

It is an arithmetic number, because the mean of its divisors is an integer number (216675).

Almost surely, 2^4464840 is an apocalyptic number.

4464840 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 4464840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933600).

4464840 is an abundant number, since it is smaller than the sum of its proper divisors (9402360).

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

4464840 is a wasteful number, since it uses less digits than its factorization.

4464840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

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

The square root of 4464840 is about 2113.0168006904. The cubic root of 4464840 is about 164.6652533840.

The spelling of 4464840 in words is "four million, four hundred sixty-four thousand, eight hundred forty".