4758320 has 80 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1569792.

The previous prime is 4758301. The next prime is 4758323. The reversal of 4758320 is 238574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (4758323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16094 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 2^4758320 is an apocalyptic number.

4758320 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 4758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

4758320 is an abundant number, since it is smaller than the sum of its proper divisors (8365840).

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

4758320 is a wasteful number, since it uses less digits than its factorization.

4758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 4758320 is about 2181.3573755806. The cubic root of 4758320 is about 168.1968591812.

The spelling of 4758320 in words is "four million, seven hundred fifty-eight thousand, three hundred twenty".