4704480 has 216 divisors, whose sum is σ = 18299736. Its totient is φ = 1140480.

The previous prime is 4704449. The next prime is 4704481. The reversal of 4704480 is 844074.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4704481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427675 + ... + 427685.

It is an arithmetic number, because the mean of its divisors is an integer number (84721).

Almost surely, 2^4704480 is an apocalyptic number.

4704480 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 4704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

4704480 is an abundant number, since it is smaller than the sum of its proper divisors (13595256).

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

4704480 is a wasteful number, since it uses less digits than its factorization.

4704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4704480 is about 2168.9813277205. The cubic root of 4704480 is about 167.5600734994.

It can be divided in two parts, 4704 and 480, that added together give a square (5184 = 72²).

The spelling of 4704480 in words is "four million, seven hundred four thousand, four hundred eighty".