4770640 has 60 divisors (see below), whose sum is σ = 12913236. Its totient is φ = 1634304.

The previous prime is 4770631. The next prime is 4770643. The reversal of 4770640 is 460774.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 3111696 = 1288^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4770599 and 4770608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4770643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3312 + ... + 4528.

Almost surely, 2^4770640 is an apocalyptic number.

4770640 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 4770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456618).

4770640 is an abundant number, since it is smaller than the sum of its proper divisors (8142596).

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

4770640 is a wasteful number, since it uses less digits than its factorization.

4770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4770640 is about 2184.1794798047. The cubic root of 4770640 is about 168.3418963283.

The spelling of 4770640 in words is "four million, seven hundred seventy thousand, six hundred forty".