4920306390 has 256 divisors, whose sum is σ = 14014218240. Its totient is φ = 1226897280.

The previous prime is 4920306383. The next prime is 4920306397. The reversal of 4920306390 is 936030294.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4920306383) and next prime (4920306397).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920306397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38742507 + ... + 38742633.

It is an arithmetic number, because the mean of its divisors is an integer number (54743040).

Almost surely, 2^4920306390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4920306390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007109120).

4920306390 is an abundant number, since it is smaller than the sum of its proper divisors (9093911850).

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

4920306390 is a wasteful number, since it uses less digits than its factorization.

4920306390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4920306390 is about 70144.8956802988. The cubic root of 4920306390 is about 1700.8423034693.

The spelling of 4920306390 in words is "four billion, nine hundred twenty million, three hundred six thousand, three hundred ninety".