4464880 has 120 divisors (see below), whose sum is σ = 12976848. Its totient is φ = 1419264.

The previous prime is 4464877. The next prime is 4464881. The reversal of 4464880 is 884644.

It is a super-3 number, since 3×4464880³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464881) 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 23 ways as a sum of consecutive naturals, for example, 66607 + ... + 66673.

Almost surely, 2^4464880 is an apocalyptic number.

4464880 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 4464880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488424).

4464880 is an abundant number, since it is smaller than the sum of its proper divisors (8511968).

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

4464880 is a wasteful number, since it uses less digits than its factorization.

4464880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 4464880 is about 2113.0262658093. The cubic root of 4464880 is about 164.6657451217.

The spelling of 4464880 in words is "four million, four hundred sixty-four thousand, eight hundred eighty".