4859820 has 216 divisors, whose sum is σ = 18673200. Its totient is φ = 1016064.

The previous prime is 4859819. The next prime is 4859821. The reversal of 4859820 is 289584.

4859820 = T₁₈₃ + T₁₈₄ + ... + T₃₂₇.

4859820 is a `hidden beast` number, since 48 + 598 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4859819) and next prime (4859821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4859821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167566 + ... + 167594.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

Almost surely, 2^4859820 is an apocalyptic number.

It is a pronic number, being equal to 2204×2205.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4859820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336600).

4859820 is an abundant number, since it is smaller than the sum of its proper divisors (13813380).

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

4859820 is a wasteful number, since it uses less digits than its factorization.

4859820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4859820 is about 2204.4999432978. The cubic root of 4859820 is about 169.3843939816.

The spelling of 4859820 in words is "four million, eight hundred fifty-nine thousand, eight hundred twenty".