4718880 has 144 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1204224.

The previous prime is 4718867. The next prime is 4718881. The reversal of 4718880 is 888174.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 2322576 = 1548^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4718881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41704 + ... + 41816.

Almost surely, 2^4718880 is an apocalyptic number.

4718880 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 4718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

4718880 is an abundant number, since it is smaller than the sum of its proper divisors (12087000).

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

4718880 is a wasteful number, since it uses less digits than its factorization.

4718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 4718880 is about 2172.2983220543. The cubic root of 4718880 is about 167.7308615836.

The spelling of 4718880 in words is "four million, seven hundred eighteen thousand, eight hundred eighty".