4705023360 has 256 divisors, whose sum is σ = 16222602240. Its totient is φ = 1155366912.

The previous prime is 4705023353. The next prime is 4705023361. The reversal of 4705023360 is 633205074.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4705023361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532547 + ... + 1535613.

It is an arithmetic number, because the mean of its divisors is an integer number (63369540).

Almost surely, 2^4705023360 is an apocalyptic number.

4705023360 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 4705023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111301120).

4705023360 is an abundant number, since it is smaller than the sum of its proper divisors (11517578880).

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

4705023360 is a wasteful number, since it uses less digits than its factorization.

4705023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 4705023360 is about 68593.1728381185. The cubic root of 4705023360 is about 1675.6652422551.

The spelling of 4705023360 in words is "four billion, seven hundred five million, twenty-three thousand, three hundred sixty".