4704240960 has 168 divisors, whose sum is σ = 16363325160. Its totient is φ = 1240301568.

The previous prime is 4704240941. The next prime is 4704240967. The reversal of 4704240960 is 690424074.

It can be written as a sum of positive squares in 4 ways, for example, as 117158976 + 4587081984 = 10824^2 + 67728^2 .

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 (4704240967) 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, 247144 + ... + 265496.

It is an arithmetic number, because the mean of its divisors is an integer number (97400745).

Almost surely, 2^4704240960 is an apocalyptic number.

4704240960 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 4704240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181662580).

4704240960 is an abundant number, since it is smaller than the sum of its proper divisors (11659084200).

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

4704240960 is a wasteful number, since it uses less digits than its factorization.

4704240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18465 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4704240960 is about 68587.4694095066. The cubic root of 4704240960 is about 1675.5723547840.

The spelling of 4704240960 in words is "four billion, seven hundred four million, two hundred forty thousand, nine hundred sixty".