4786320 has 240 divisors, whose sum is σ = 19338048. Its totient is φ = 967680.

The previous prime is 4786303. The next prime is 4786321. The reversal of 4786320 is 236874.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a d-powerful number, because it can be written as 4⁵ + 7 + 8³ + 6⁴ + 3¹⁴ + 2⁹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (4786321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129342 + ... + 129378.

Almost surely, 2^4786320 is an apocalyptic number.

4786320 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 4786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669024).

4786320 is an abundant number, since it is smaller than the sum of its proper divisors (14551728).

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

4786320 is a wasteful number, since it uses less digits than its factorization.

4786320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4786320 is about 2187.7659838292. The cubic root of 4786320 is about 168.5261283728.

The spelling of 4786320 in words is "four million, seven hundred eighty-six thousand, three hundred twenty".