4794640 has 40 divisors (see below), whose sum is σ = 11314008. Its totient is φ = 1889280.

The previous prime is 4794637. The next prime is 4794641. The reversal of 4794640 is 464974.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 4528384 = 516^2 + 2128^2 .

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 junction number, because it is equal to n+sod(n) for n = 4794596 and 4794605.

It is not an unprimeable number, because it can be changed into a prime (4794641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5430 + ... + 6250.

Almost surely, 2^4794640 is an apocalyptic number.

4794640 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 4794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657004).

4794640 is an abundant number, since it is smaller than the sum of its proper divisors (6519368).

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

4794640 is a wasteful number, since it uses less digits than its factorization.

4794640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4794640 is about 2189.6666412950. Note that the first 4 decimals coincide. The cubic root of 4794640 is about 168.6237207982.

The spelling of 4794640 in words is "four million, seven hundred ninety-four thousand, six hundred forty".