4278820 has 48 divisors (see below), whose sum is σ = 11063808. Its totient is φ = 1353600.

The previous prime is 4278773. The next prime is 4278829. The reversal of 4278820 is 288724.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4278829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645 + ... + 2995.

It is an arithmetic number, because the mean of its divisors is an integer number (230496).

Almost surely, 2^4278820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4278820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531904).

4278820 is an abundant number, since it is smaller than the sum of its proper divisors (6784988).

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

4278820 is a wasteful number, since it uses less digits than its factorization.

4278820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 4278820 is about 2068.5308796341. The cubic root of 4278820 is about 162.3459052039.

It can be divided in two parts, 427 and 8820, that multiplied together give a triangular number (3766140 = T₂₇₄₄).

The spelling of 4278820 in words is "four million, two hundred seventy-eight thousand, eight hundred twenty".