4745680 has 40 divisors (see below), whose sum is σ = 11139912. Its totient is φ = 1880064.

The previous prime is 4745651. The next prime is 4745681. The reversal of 4745680 is 865474.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 4648336 = 312^2 + 2156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10744 + ... + 11176.

Almost surely, 2^4745680 is an apocalyptic number.

4745680 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 4745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569956).

4745680 is an abundant number, since it is smaller than the sum of its proper divisors (6394232).

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

4745680 is a wasteful number, since it uses less digits than its factorization.

4745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4745680 is about 2178.4581703581. The cubic root of 4745680 is about 168.0477944137.

The spelling of 4745680 in words is "four million, seven hundred forty-five thousand, six hundred eighty".