4000820 has 12 divisors (see below), whose sum is σ = 8401764. Its totient is φ = 1600320.

The previous prime is 4000813. The next prime is 4000823. The reversal of 4000820 is 280004.

It can be written as a sum of positive squares in 2 ways, for example, as 2347024 + 1653796 = 1532^2 + 1286^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

4000820 is a modest number, since divided by 820 gives 40 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4000795 and 4000804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100001 + ... + 100040.

It is an arithmetic number, because the mean of its divisors is an integer number (700147).

Almost surely, 2^4000820 is an apocalyptic number.

It is an amenable number.

4000820 is an abundant number, since it is smaller than the sum of its proper divisors (4400944).

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

4000820 is a wasteful number, since it uses less digits than its factorization.

4000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200050 (or 200048 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4000820 is about 2000.2049894948. The cubic root of 4000820 is about 158.7509516962.

Adding to 4000820 its reverse (280004), we get a palindrome (4280824).

The spelling of 4000820 in words is "four million, eight hundred twenty", and thus it is an aban number.