4644480 has 128 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1187840.

The previous prime is 4644463. The next prime is 4644481. The reversal of 4644480 is 844464.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4644481) 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, 78691 + ... + 78749.

Almost surely, 2^4644480 is an apocalyptic number.

4644480 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 4644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

4644480 is an abundant number, since it is smaller than the sum of its proper divisors (10777920).

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

4644480 is a wasteful number, since it uses less digits than its factorization.

4644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

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

The square root of 4644480 is about 2155.1055658598. The cubic root of 4644480 is about 166.8446809090.

The spelling of 4644480 in words is "four million, six hundred forty-four thousand, four hundred eighty".