4148820 has 120 divisors (see below), whose sum is σ = 14087304. Its totient is φ = 1016064.

The previous prime is 4148819. The next prime is 4148849. The reversal of 4148820 is 288414.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 3370896 = 882^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20962 + ... + 21158.

Almost surely, 2^4148820 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 4148820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043652).

4148820 is an abundant number, since it is smaller than the sum of its proper divisors (9938484).

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

4148820 is a wasteful number, since it uses less digits than its factorization.

4148820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4148820 is about 2036.8652385467. The cubic root of 4148820 is about 160.6848250761.

The spelling of 4148820 in words is "four million, one hundred forty-eight thousand, eight hundred twenty".